A local regularity result for Neumann parabolic problems with nonsmooth data

DOI10.1016/j.indag.2016.12.002zbMath1372.35063OpenAlexW2562707016MaRDI QIDQ2400626

Miguel Ernesto Vázquez-Méndez, Lino Jose Alvarez-Vázquez, Rafael Muñoz-Sola, Aurea Martínez

Publication date: 29 August 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2016.12.002

zbMATH Keywords

Neumann boundary conditionconvection-diffusionmeasure datatransposition solutionpointwise source term

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30)

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Cites Work

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• Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
• Parabolic equations with measure data in Orlicz spaces
• Local estimates and global existence for strongly nonlinear parabolic equations with locally integrable data
• Asymptotic behavior of solutions for linear parabolic equations with general measure data
• Extended solutions for general fast diffusion equations with optimal measure data
• Renormalized solutions of nonlinear parabolic equations with general measure data
• Global existence for some slightly super-linear parabolic equations with measure data
• Summability and existence results for nonlinear parabolic equations
• Existence results for some nonlinear parabolic equations with nonregular data
• Nonlinear parabolic equations with measure data
• Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Semilinear parabolic equations involving measures and low regularity data
• Theoretical and Numerical Analysis of an Optimal Control Problem Related to Wastewater Treatment
• Equivalent Norms for Sobolev Spaces

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