Parabolic equations and the bounded slope condition

DOI10.1016/j.anihpc.2015.12.005zbMath1372.35161OpenAlexW2241052563MaRDI QIDQ511507

Verena Bögelein, Frank Duzaar, Paolo Marcellini, Stefano Signoriello

Publication date: 21 February 2017

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2015.12.005

zbMATH Keywords

existenceparabolic equationsLipschitz solutionsbounded slope condition

Mathematics Subject Classification ID

Variational inequalities (49J40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (16)

Global continuity of variational solutions weakening the one-sided bounded slope condition ⋮ An evolutionary Haar-Rado type theorem ⋮ Regularity under general and \(p,q\)-growth conditions ⋮ Unnamed Item ⋮ The bounded slope condition for parabolic equations with time-dependent integrands ⋮ Elliptic regularization of some semilinear parabolic free boundary problems ⋮ On the existence and Hölder regularity of solutions to some nonlinear Cauchy-Neumann problems ⋮ A variational approach to doubly nonlinear equations ⋮ Local Calderón-Zygmund estimates for parabolic minimizers ⋮ Doubly nonlinear equations of porous medium type ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity ⋮ The one-sided bounded slope condition in evolution problems ⋮ A variational approach to parabolic equations under general and \(p,q\)-growth conditions ⋮ Weighted energy-dissipation principle for gradient flows in metric spaces ⋮ Unnamed Item ⋮ A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems

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