Long-time behaviour of solutions to an evolution PDE with nonstandard growth

DOI10.1515/acv-2019-0061zbMath1486.35050OpenAlexW3025888329MaRDI QIDQ2119569

Hélène Frankowska, Gioconda Moscariello

Publication date: 29 March 2022

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2019-0061

zbMATH Keywords

generalised Gronwall lemmatime dependence of solutions at infinity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations (35K59)

Related Items (2)

Asymptotic stability estimates for some evolution problems with singular convection field ⋮ Nonlinear evolution problems with singular coefficients in the lower order terms

Cites Work

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• Parabolic systems with \({p,q}\)-growth: a variational approach
• Quantitative asymptotic estimates for evolution problems
• The Cauchy-Dirichlet problem for a general class of parabolic equations
• Regularity of minima: an invitation to the dark side of the calculus of variations.
• Existence and uniqueness of weak solutions for a non-uniformly parabolic equation
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Hölder continuity of minimizers of functionals with non standard growth conditions
• Regularity results for quasiminima of functionals with non-polynomial growth
• Pseudo solutions of the time-dependent minimal surface problem
• Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
• Nonuniformly elliptic energy integrals with \(p, q\)-growth
• A nonlinear parabolic equation with drift term
• Higher integrability for minimizers of integral functionals with \((p,q)\) growth
• Existence of evolutionary variational solutions via the calculus of variations
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Degenerate problems with irregular obstacles
• Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
• Anisotropic Sobolev inequalities
• Some remarks on the regularity of minima of anisotropic integrals
• Local boundedness of minimizers of certain degenerate functionals of the calculus of variations
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Regularity results for a class of functionals with non-standard growth

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