Semilinear limit problems for reaction–diffusion equations with variable exponents

In this work we study PDE limit problems for nonlinear reaction–diffusion equations and we study the sensitivity of nonlinear PDEs with respect to initial conditions and exponent parameters. Moreover, we prove continuity of the flow and weak upper semicontinuity of a family of global attractors for...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 266; no. 7; pp. 3906 - 3924
Main Authors Bezerra, Flank D.M., Simsen, Jacson, Simsen, Mariza S.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.03.2019
Subjects
Attractors
Parabolic problems
Reaction–diffusion equations
Upper semicontinuity
Variable exponents
Upper semicontinuity
Reaction–diffusion equations
Parabolic problems
Attractors
35B41
35K59
35B40
35K57
Variable exponents
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Summary:In this work we study PDE limit problems for nonlinear reaction–diffusion equations and we study the sensitivity of nonlinear PDEs with respect to initial conditions and exponent parameters. Moreover, we prove continuity of the flow and weak upper semicontinuity of a family of global attractors for reaction–diffusion equations with spatially variable exponents when the exponents go to 2 in L∞(Ω).
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2018.09.021