INSTYTUT MATEMATYKI
Uniwersytet ¦l±ski
TOMASZ DŁOTKO – SCIENTIFIC PAPERS
- The first boundary value problem for a singular linear equation
of
parabolic type, Prace Mat. US 9, 1979, 46-52.
- On singular non-linear parabolic differential inequalities in
unbounded
domain, Annal. Polon. Math. 37, 1980, 283-287.
- Asymptotic behaviour of solutions of the nonlinear heat equation,
Annal. Polon. Math. 48, 1988, 109-119.
- The one-dimensional Burgers' equation; existence, uniqueness and
stability, Zeszyty Nauk. Univ. Jagiello. 23, 1982, 157-172.
- The classical solution of the one-dimensional Burgers' equation,
Zeszyty Nauk. Univ. Jagiello. 23, 1982, 173-182.
- Some remarks concerning the one-dimensional Burgers' equation,
Annales
Mathematicae Silesianae 4 (16), 1990, 14-24.
- The two-dimensional Burgers' turbulence model, J. Math. Kyoto
Univ. 21,
4, 1981, 809-823.
- On the Tjon-Wu representation of the Boltzmann equation, Annal.
Polon.
Math. 42, 1983, 73-82, with A.Lasota.
- Stability of the Chandrasekhar-Munch equation, Univ. Jagellon.
Acta
Math. 28, 1989, 85-92.
- Stability of non-linear parabolic equations with dominant main
part,
Demonstratio Math. 19,I, 1986, 123-137.
- Statistical stability and the lower bound function technique, in:
Pitman Research Notes 141, Proc. Autumn Course on Semigroups, Theory
and Applications, Trieste 1984, pp. 75-95, with A.Lasota.
- Remarks on global bounds of solutions of parabolic equations in
divergence form, Rocky Mountain J. Math. 17,3, 1987, 499-510.
- Global solutions of reaction-diffusion equations, Funkcial.
Ekvac.
30,1, 1987, 31-43.
- Global description of divergence quasilinear parabolic equations,
in:
Proc. 4-th Conf. Funct.-Diff. Equations 1985, M.Kisielewicz (Ed.), pp.
25-34.
- Decay properties of global solutions of reaction-diffusion
equations,
Funkcial. Ekvac. 30,1, 1987, 111-114.
- Parabolic Equations in Divergence Form. Theory of Global
Solutions, Wydawnictwo Uniwersytetu ¦l±skiego, Katowice, 1987.
- A priori estimates for a Navier-Stokes like system, Riv. Mat.
Univ.
Parma (4) 13, 1987, 187-199.
- Parabolic equation modelling diffusion with strong absorption,
Atti
Sem. Mat. Fis. Univ. Modena 38, 1990, 61-70.
- An Lp approach to a parabolic
problem
with blowing-up solutions, Demonstratio Math. 22,4, 1989, 1169-1182.
- Examples of parabolic problems with blowing-up derivatives, J.
Math.
Anal. Appl. 154,1, 1991, 226-237.
- Local solvability of semilinear parabolic equations, Hokkaido
Math.
Journal 20, 1991, 481-496.
- Local solvability of diagonal semilinear parabolic systems,
Czechoslovak Math. Journal 41 (116), 1991, 634-640.
- Blow-up of derivatives for parabolic problems, in: Workshop on
Partial
Differential Equations, B. Kawohl (Ed.), Georgia Institute of
Technology, May 1990.
- Singular limit in a parabolic equation, Demonstratio Math. 26,2,
1993,
473-481.
- Fourth order quasilinear parabolic equations, Tsukuba J. Math.
16,2,
1992, 389-405.
- Global attractor for the Cahn-Hilliard equation in H2
and H3, J. Differential Equations 113,
1994, 381-393.
- Smooth global attractor for the Cahn-Hilliard equation,
Differential
Equations Dynam. Systems 1,2, 1993, 137-144.
- Global attractor for the Cahn-Hilliard system, Bull. Austral.
Math.
Soc. 49, 1994, 277-293, with J.W. Cholewa.
- Global solutions via partial information and the Cahn-Hilliard
equation, in: Singularities and Differential Equations, Banach Center
Publications, Vol. 33, PWN, Warsaw, 1996, pp. 39-50, with J.W. Cholewa.
- Global attractor for sectorial evolutionary equation, J.
Differential
Equations 125, 1996, 27-39, with J.W. Cholewa.
- Global attractors for parabolic p.d.e.'s in Holder spaces,
Tsukuba J.
Math., 21 (2), 1997, 263-283, with J.W. Cholewa.
- Examples of global attractors in parabolic problems, Hokkaido
Math.
Journal, 27 (1), 1998, 77-103, with A.N. Carvalho, J.W. Cholewa.
- Local attractor for n-D Navier-Stokes system, Hiroshima Math. J.
28,
1998, 309-319, with J.W. Cholewa.
- Parabolic problems in H1 with fast
growing
nonlinearities, Nonlinear Analysis TMA 33, 1998, 391-399, with A.N.
Carvalho.
- Upper semicontinuity of attractors and synchronization, J. Math.
Anal.
Appl. 220, 1998, 13-41, with A.N. Carvalho, H.M. Rodriguez.
- Cauchy problem with subcritical nonlinearity, J. Math. Anal.
Appl. 210,
1997, 531-548, with J.W. Cholewa.
- Global attractors for problems with monotone operators, Boll.
Unione
Mat. Ital. II-B (3), 1999, 693-706, with A.N. Carvalho, J.W. Cholewa.
- Abstract parabolic problems with non-Lipschitz nonlinearity, in:
Evolution Equations: Existence, Regularity and Singularities, Banach
Center Publications, Vol. 52, PWN, Warsaw, 2000, 73-81, with J.W.
Cholewa.
- Remarks on the powers of elliptic operators, Rev. Mat. Complut.
13,
2000, 1-12, with J.W. Cholewa.
- Asymptotics of pseudodifferential parabolic equations,
Demonstratio
Math. 35, 2002, 75-91, with J.W. Cholewa and A.W. Turski.
- Abstract parabolic problems in ordered Banach spaces, Colloq.
Math. 90,
2001, 1-17, with A.N. Carvalho, J.W. Cholewa.
- Bi-spaces global attractors in abstract parabolic equations, in:
Banach
Center Publications, Vol. 60, PWN, Warszawa 2003, 13-26, with J.W.
Cholewa.
- Parabolic equations with critical nonlinearities, Topol. Methods
Nonlinear Anal. 21, 2003, 311-324, with J.W Cholewa.
- Asymptotic behavior and attractors for reaction diffusion
equations in
unbounded domains, Nonlinear Analysis TMA 56, 2004, 511-554, with J.M.
Arrieta, J.W. Cholewa and A. Rodriguez-Bernal.
- Cauchy problems in weighted Lebesgue spaces, Czechoslovak Math.
J. 54,
2004, 991-1013, with J.W. Cholewa.
- Partly dissipative systems in uniformly local spaces, Colloq.
Math.
100, 2004, 221-242, with A.N. Carvalho.
- Linear parabolic equations in locally uniform spaces, Math.
Models
Methods Appl. Sci. 14, 2004, 253-294, with J.M. Arrieta, J.W. Cholewa
and A. Rodriguez-Bernal.
- Hyperbolic equations in uniform spaces, Bull. Acad. Polon. Sci.
52,
2004, 249-263, with J.W. Cholewa.
- Strongly damped wave equation in locally uniform spaces,
Nonlinear
Analysis TMA 64, 2006, 147-187, with J.W. Cholewa.
- Uniform exponential dichotomy and continuity of attractors for
singularly perturbed damped wave equation, J. Dynam. Differential
Equations 18, 2006, 767-814, with S.M. Bruschi, A.N. Carvalho, J.W.
Cholewa.
- Dissipative parabolic equations in locally uniform spaces, Math.
Nachr.
280, 2007, 1643-1663, with J.M. Arrieta, J.W. Cholewa and A.
Rodriguez-Bernal.
- Semilinear Cauchy problems with almost sectorial operators, Bull.
Acad.
Polon. Sci. Math. 55, 2007, 333-346.
- Strongly damped wave problems: bootstrapping and regularity of
solutions, J. Differential Equations 244, 2008, 2310-2333, with A.N.
Carvalho, J.W. Cholewa.
- Dynamics of the viscous Cahn-Hilliard equation, J. Math. Anal.
Appl.
344, 2008, 703-725, with A.N. Carvalho.
- Non-autonomous semilinear evolution equations with almost
sectorial
operators, J. Evol. Equ., 2008, 1-29, with A.N. Carvalho, Marcelo J.D.
Nascimento.
- Damped wave equations with fast growing dissipative
nonlinearities,
Discrete Contin. Dyn. Syst. 24, 2009, 1147-1165, with A.N. Carvalho,
J.W. Cholewa.
- Generalized Korteweg-de Vries equation in H1(R),
Nonlinear Analysis TMA 71, 2009, 3934-3947, with M. B. Kania, Meihua
Yang.
- Dynamics of the modified viscous Cahn-Hilliard equation in RN,
Topol. Methods Nonlinear Anal. 35, 2010, 277-294; with Chunyou Sun.
- The generalized Korteweg-de Vries-Burgers equation in H2(R),
Nonlinear Analysis TMA, 74, 2011, 721-732.
- Asymptotic behavior of the generalized Korteweg-de Vries-Burgers
equation, J. Evol. Equ. 10, 2010, 571-595; with Chunyou Sun.
- 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, 13-51 ; with A.N. Carvalho, J.W. Cholewa.
- Analysis of the viscous Cahn-Hilliard equation in RN,
J. Differential Equations 252, 2012, 2771-2791; with M. B. Kania,
Chunyou Sun.
- Pseudodifferential parabolic equations; two examples, Topol.
Methods
Nonlinear Anal. 43, 2014, 463-492; with M. B. Kania, Chunyou Sun.
- Korteweg-de Vries-Burgers system in RN, J. Math. Anal.
Appl.
411, 2014, 853-872; with M. B. Kania, Shan Ma.
- Pseudodifferential parabolic equations in uniform spaces,
Applicable
Anal. 93, 2014, 14-34; with M. B. Kania, Chunyou Sun.
- Subcritical Hamilton-Jacobi fractional equation in RN,
Math.
Methods Appl. Sci. 38, 2015, 2547-2560; with M. B. Kania.
- Quasi-geostrophic equation in R2, J. Differential
Equations
259, 2015, 531-561;
with M.B. Kania and Chunyou Sun.
- Navier-Stokes equation and its fractional approximations,
Appl. Math. Optim. 77, 2018, 99-128
(former title; New look at the Navier-Stokes equation).
- Fractional Schrödinger equation; solvability and connection with
classical Schrödinger equation, J. Math. Anal. Appl. 457, 2018,
336-360;
with Flank D. M. Bezerra, Alexandre N. Carvalho, Marcelo J. D.
Nascimento.
- Fractional Navier-Stokes equation, Discrete Contin. Dyn. Syst.
Ser. B 23, 2018, 2967-2988 ; with J.W. Cholewa.
- 2D Quasi-geostrophic equation; sub-critical and critical cases,
Nonlinear Analysis 150, 2017, 38-60; with Chunyou Sun.
- A note on the 3-D Navier-Stokes equations, Topol. Methods
Nonlinear
Anal. 52, 2018, 195-212; with J.W. Cholewa.
Monograph:
Global Attractors in Abstract Parabolic Problems, Cambridge
University Press, Cambridge, 2000, with J.W. Cholewa.
Katowice, September 2018.
[HOMEPAGE] [CV]
[ZAKŁAD RÓWNAŃ RÓŻNICZKOWYCH]