prof. dr hab. Jan Cholewa

Pracownicy prof. dr hab. Jan Cholewa

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Profesor

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(32) 359 19 52

jan.cholewa@us.edu.pl

0000-0003-1874-9477

Materiały dodatkowe

Pełnione funkcje Pełnione funkcje

Członek Rady Naukowej Instytutu Matematyki

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Born 1966; mathematical studies at the University of Silesia in Katowice, master degree 1990; doctor of mathematics 1993; habilitation 2000; professor of mathematics 2009.

Plan zajęć Plan zajęć

2024/25, semestr zimowy

Środa

11:30 – 13:00

Analiza zespolona

(wykł., s. 233)

Czwartek

9:45 – 11:15	Analiza zespolona	(konw., s. 233)
11:30 – 13:00	Analiza zespolona	(konw., s. 233)
13:00 – 13:45	Konsultacje	(s. 538)

Publikacje Publikacje

Artykuły naukowe

Lp.	Autorzy	Tytuł	Dane bibliograficzne

1.	Jan Cholewa	Local solvability of higher-order semilinear parabolic equations	Hokkaido Math. J., 21 (1992), no. 3, 491–508, doi:10.14492/hokmj/1381413724.
2.	Jan Cholewa	Higher-dimensional semilinear parabolic problems	Hokkaido Math. J., 22 (1993), no. 3, 365–371, doi:10.14492/hokmj/1381413180.
3.	Jan Cholewa, Tomasz Dłotko	Global attractor for the Cahn-Hilliard system	Bull. Austral. Math. Soc., 49 (1994), no. 2, 277–292, doi:10.1017/S0004972700016348.
4.	Jan Cholewa	Local existence of solutions of 2m-th order semilinear parabolic equations	Demonstratio Math., 28 (1995), no. 4, 929–944.
5.	Jan Cholewa, Tomasz Dłotko	Global attractor for sectorial evolutionary equation	J. Differential Equations, 125 (1996), no. 1, 27–39, doi:10.1006/jdeq.1996.0023.
6.	Jan Cholewa, Tomasz Dłotko	Global attractors for parabolic P.D.E.’s in Hölder spaces	Tsukuba J. Math., 21 (1997), no. 2, 263–283, doi:10.21099/tkbjm/1496163241.
7.	Jan Cholewa, Tomasz Dłotko	Cauchy problem with subcritical nonlinearity	J. Math. Anal. Appl., 210 (1997), no. 2, 531–548, doi:10.1006/jmaa.1997.5409.
8.	Jan Cholewa, Tomasz Dłotko	Local attractor for n-D Navier-Stokes system	Hiroshima Math. J., 28 (1998), no. 2, 309–319.
9.	Alexandre N. Carvalho, Jan Cholewa, Tomasz Dłotko	Examples of global attractors in parabolic problems	Hokkaido Math. J., 27 (1998), no. 1, 77–103, doi:10.14492/hokmj/1351001252.
10.	Alexandre N. Carvalho, Jan Cholewa, Tomasz Dłotko	Global attractors for problems with monotone operators	Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat., (8) 2 (1999), no. 3, 693–706.
11.	Jan Cholewa, Jack K. Hale	Some counterexamples in dissipative systems	Dynam. Contin. Discrete Impuls. Systems, 7 (2000), no. 2, 159–176.
12.	Jan Cholewa, Tomasz Dłotko	Remarks on the powers of elliptic operators	Rev. Mat. Complut., 13 (2000), no. 2, 325–336, doi:10.5209/rev_REMA.2000.v13.n2.17075.
13.	Alexandre N. Carvalho, Jan Cholewa, Tomasz Dłotko	Abstract parabolic problems in ordered Banach spaces	Colloq. Math., 90 (2001), no. 1, 1–17, doi:10.4064/cm90-1-1.
14.	Jan Cholewa	Some atypical properties of solutions of nonlinear evolution equations	Wiadom. Mat., 38 (2002), 53–60.
15.	Alexandre N. Carvalho, Jan Cholewa	Local well posedness for strongly damped wave equations with critical nonlinearities	Bull. Austral. Math. Soc., 66 (2002), no. 3, 443–463, doi:10.1017/S0004972700040296.
16.	Alexandre N. Carvalho, Jan Cholewa	Attractors for strongly damped wave equations with critical nonlinearities	Pacific J. Math., 207 (2002), no. 2, 287–310, doi:10.2140/pjm.2002.207.287.
17.	Jan Cholewa, Tomasz Dłotko, Andrzej W. Turski	Asymptotics of pseudodifferential parabolic equations	Demonstratio Math., 35 (2002), no. 1, 75–91.
18.	Jan Cholewa, Tomasz Dłotko	Parabolic equations with critical nonlinearities	Topol. Methods Nonlinear Anal., 21 (2003), no. 2, 311–324, doi:10.12775/TMNA.2003.019
19.	Jose M. Arrieta, Anibal Rodriguez-Bernal, Jan Cholewa, Tomasz Dlotko	Linear parabolic equations in locally uniform spaces	Math. Models Methods Appl. Sci., 14 (2004), no. 2, 253–293, doi:10.1142/S0218202504003234
20.	Jan Cholewa, Tomasz Dłotko	Hyperbolic equations in uniform spaces	Bull. Pol. Acad. Sci. Math., 52 (2004), no. 3, 249–263, doi:10.4064/ba52-3-5
21.	Jan Cholewa, Tomasz Dłotko	Cauchy problems in weighted Lebesgue spaces	Czechoslovak Math. J., 54 (2004), no. 4, 991–1013, doi: 10.1007/s10587-004-6447-z
22.	Jose M. Arrieta, Jan Cholewa, Tomasz Dlotko, Anibal Rodriguez-Bernal	Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains	Nonlinear Anal., 56 (2004), no. 4, 515–554, doi:10.1016/j.na.2003.09.023
23.	Alexandre N. Carvalho, Jan Cholewa	Continuation and asymptotics of solutions to semilinear parabolic equations with critical nonlinearities	J. Math. Anal. Appl., 310 (2005), no. 2, 557–578, doi:10.1016/j.jmaa.2005.02.024.
24.	Simone M. Bruschi, Alexandre N. Carvalho, Jan Cholewa, Tomasz Dlotko	Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations	J. Dynam. Differential Equations, 18 (2006), no. 3, 767–814, doi:10.1007/s10884-006-9023-4.
25.	Jan Cholewa, Tomasz Dlotko	Strongly damped wave equation in uniform spaces	Nonlinear Anal., 64 (2006), no. 1, 174–187, doi:10.1016/j.na.2005.06.021.
26.	Jan Cholewa, Jack K. Hale	From point dissipative to compact dissipative. Addendum to: „Some counterexamples in dissipative systems”	Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 14 (2007), no. 1, 147–164.
27.	Jose M. Arrieta, Jan Cholewa, Tomasz Dłotko, Anibal Rodriguez-Bernal	Dissipative parabolic equations in locally uniform spaces	Math. Nachr. 280 (2007), no. 15, 1643–1663, doi:10.1002/mana.200510569
28.	Alexandre N. Carvalho, Jan Cholewa, Tomasz Dłotko	Strongly damped wave problems: bootstrapping and regularity of solutions	J. Differential Equations, 244 (2008), no.9, 2310-2333, doi:10.1016/j.jde.2008.02.011
29.	Jan Cholewa, Radosław Czaja, Gianluca Mola	Remarks on the fractal dimension of bi-space global and exponential attractors	Boll. Unione Mat. Ital., (9) 1 (2008), no. 1, 121–145.
30.	Alexandre N. Carvalho, Jan Cholewa	Regularity of solutions on the global attractor for a semilinear damped wave equation	J. Math. Anal. Appl., 337 (2008), no. 2, 932–948, doi:10.1016/j.jmaa.2007.04.051
31.	Alexandre N. Carvalho, Jan Cholewa	Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time	Trans. Amer. Math. Soc., 361 (2009), no. 5, 2567–2586, doi:10.1090/S0002-9947-08-04789-2
32.	Jan Cholewa, Anibal Rodriguez-Bernal	Extremal equilibria for dissipative parabolic equations in locally uniform spaces	Math. Models Methods Appl. Sci., 19 (2009), no. 11, 1995–2037, doi:10.1142/S0218202509004029
33.	Alexandre N. Carvalho, Jan Cholewa, Tomasz Dłotko	Damped wave equations with fast growing dissipative nonlinearities	Discrete Contin. Dyn. Syst., 24 (2009), no. 4, 1147–1165, doi:10.3934/dcds.2009.24.1147
34.	Jan Cholewa, Anibal Rodriguez-Bernal	Extremal equilibria for monotone semigroups in ordered spaces with application to evolutionary equations	J. Differential Equations, 249 (2010), no. 3, 485–525, doi:10.1016/j.jde.2010.04.006
35.	Alexandre N. Carvalho, Jan Cholewa	Exponential global attractors for semigroups in metric spaces with applications to differential equations	Ergodic Theory Dynam. Systems, 31 (2011), no. 6, 1641–1667, doi:10.1017/S0143385710000702
36.	Jan Cholewa, Anibal Rodriguez-Bernal	On the Cahn-Hilliard equation in H¹(R^N)	J. Differential Equations, 253 (2012), no. 12, 3678–3726, doi:10.1016/j.jde.2012.08.033
37.	Jan Cholewa, Anibal Rodriguez-Bernal	Linear and semilinear higher order parabolic equations in R^N	Nonlinear Anal., 75 (2012), no. 1, 194–210, doi:10.1016/j.na.2011.08.022
38.	Jan Cholewa, Anibal Rodriguez-Bernal	Dissipative mechanism of a semilinear higher order parabolic equation in R^N	Nonlinear Anal., 75 (2012), no. 8, 3510–3530, doi:10.1016/j.na.2012.01.011
39.	Alexandre N. Carvalho, Jan Cholewa, Germán Lozada-Cruz, Marcos R. T. Primo	Reduction of infinite dimensional systems to finite dimensions: compact convergence approach	SIAM J. Math. Anal., 45 (2013), no. 2, 600–638, doi:10.1137/10080734X
40.	Alexandre N. Carvalho, Jan Cholewa, Tomasz Dłotko	Equi-exponential attraction and rate of convergence of attractors with application to a perturbed damped wave equation	Proc. Roy. Soc. Edinburgh Sect. A, 144 (2014), no. 1, 13–51, doi:10.1017/S0308210511001235
41.	Jan. Cholewa, Anibal Rodriguez-Bernal	Critical and supercritical higher order parabolic problems in R^N	Nonlinear Anal., 104 (2014), 50–74, doi:10.1016/j.na.2014.03.013
42.	Jan Cholewa, Anibal Rodriguez-Bernal	A note on the Cahn-Hilliard equation in H¹(R^N) involving critical exponent	Math. Bohem., 139 (2014), no. 2, 269–283.
43.	Alexandre N. Carvalho, Jan Cholewa, Marcelo J. D. Nascimento	On the continuation of solutions of non-autonomous semilinear parabolic problems	Proc. Edinb. Math. Soc., (2) 59 (2016), no. 1, 17–55, doi:10.1017/S001309151400039X
44.	Flank D. M. Bezerra, Alexandre N. Carvalho, Jan Cholewa, Marcelo J. D. Nascimento	Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics	J. Math. Anal. Appl., 450 (2017), no. 1, 377–405, doi:10.1016/j.jmaa.2017.01.024
45.	Jan Cholewa, Carlos Quesada, Anibal Rodriguez-Bernal	Nonlinear evolution equations in scales of Banach spaces and applications to PDEs	J. Abstr. Differ. Equ. Appl., 8 (2017), no. 2, 1–69.
46.	Jan Cholewa, Anibal Rodriguez-Bernal	Linear higher order parabolic problems in locally uniform Lebesgue’s spaces	J. Math. Anal. Appl., 449 (2017), no. 1, 1–45, doi: 10.1016/j.jmaa.2016.11.085.
47.	Alexandre N. Carvalho, Jan Cholewa	NLS-like equations in bounded domains: parabolic approximation procedure	Discrete Contin. Dyn. Syst. Ser. B, 23 (2018), no. 1, 57–77, doi:10.3934/dcdsb.2018005
48.	Jan Cholewa, Tomasz Dłotko	Fractional Navier-Stokes equations	Discrete Contin. Dyn. Syst. Ser. B, 23 (2018), no. 8, 2967–2988, doi:10.3934/dcdsb.2017149.
49.	Jan Cholewa, Tomasz Dłotko	A note on the 3-D Navier-Stokes equations	Topol. Methods Nonlinear Anal., 52 (2018), no. 1, 195–21, doi: 10.12775/TMNA.2017.049.
50.	Jan Cholewa, Radosław Czaja	Lattice dynamical systems: dissipative mechanism and fractal dimension of global and exponential attractors	Journal of Evolution Equations, 20 (2020), no. 2, 485–515, doi:10.1007/s00028-019-00535-3.
51.	Jan Cholewa, Anibal Rodriguez-Bernal	Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in R^N	Commun. Contem. Math., 24 (2022), no. 1, Paper No. 2050070, doi: 10.1142/S0219199720500704.
52.	Jan Cholewa, Anibal Rodriguez-Bernal	On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities	J. Differential Equations 315 (2022), 1–56, doi: 10.1016/j.jde.2022.01.029
53.	Jan Cholewa, Anibal Rodriguez-Bernal	Self-similarity in homogeneous stationary and evolution problems	Journal of Evolution Equations 23 (2023), Article number: 42, DOI:10.1007/s00028-023-00893-z
54.	Jan Cholewa, Anibal Rodriguez-Bernal	On linear higher-order parabolic equations in Morrey spaces	Analysis and Applications 21 (2023), 1561–1608, DOI:10.1142/S0219530523500161
55.	Jan Cholewa, Radosław Czaja	Exponential attractor for the Cahn-Hilliard-Oono equation in R^N	Topological Methods in Nonlinear Analysis 62 (2023), 485-508, DOI:10.12775/TMNA.2023.018

Monografie naukowe

Lp.	Autorzy	Tytuł	Dane bibliograficzne

1.	Jan Cholewa, Tomasz Dłotko	Global attractors in abstract parabolic problems	London Mathematical Society Lecture Note Series, 278, Cambridge University Press, Cambridge, 2000, doi: 10.1017/CBO9780511526404, ISBN-13: 9780521794244 \| ISBN-10: 0521794242.

Materiały konferencyjne / rozdziały w monografiach naukowych

Lp.	Autorzy	Tytuł rozdziału	Tytuł całości	Dane bibliograficzne

1.	Jan Cholewa, Tomasz Dłotko	Global solutions via partial information and the Cahn-Hilliard equation	Singularities and differential equations	Banach Center Publ. (33), Warsaw, Polish Acad. Sci. Inst. Math., 1996, 39–50.
2.	Jan Cholewa, Tomasz Dłotko	Abstract parabolic problem with non-Lipschitz nonlinearity	Evolution equations: existence, regularity and singularities	Banach Center Publ. (52), Warsaw, Polish Acad. Sci. Inst. Math., 2000, 73–81.
3.	Jan Cholewa, Tomasz Dłotko	Bi-spaces global attractors in abstract parabolic equations	Evolution equations	Banach Center Publ. (60), Warsaw, Polish Acad. Sci. Inst. Math., 2003, 13–26.
4.	Alexandre N. Carvalho, Jan Cholewa	Strongly damped wave equations in W₀^1,p(Ω)×L^p(Ω)	Dynamical systems and differential equations. Proceedings of the 6th AIMS International Conference	Discrete Contin. Dyn. Syst., supplement, 2007, 230–239, ISBN: 978-1-60133-010-9; 1-60133-010-3.
5.	Jan Cholewa, Radosław Czaja	On fractal dimension of global and exponential attractors for dissipative higher order parabolic problems in R^N with general potential	Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics	Understanding Complex Systems, Springer, 2021, 293-314, ISBN 978-3-030-50301-7.