Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions

DOI10.1007/s00526-008-0189-yzbMath1167.35342OpenAlexW2010507695MaRDI QIDQ1017927

Jérôme Droniou, Juan Luis Vazquez

Publication date: 13 May 2009

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-008-0189-y

zbMATH Keywords

Neumann boundary conditionsglobal continuityconvection-diffusion elliptic problemsnonlinear problems with measure data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Linear accretive operators, dissipative operators, etc. (47B44)

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Cites Work

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• Approximated solutions of equations with \(L^ 1\) data. Application to the \(H\)-convergence of quasilinear parabolic equations
• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• The Fokker-Planck equation. Methods of solution and applications
• Nonlinear elliptic and parabolic equations involving measure data
• Non-coercive linear elliptic problems
• Uniqueness of solutions for some nonlinear Dirichlet problems
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data
• Global and Local Estimates for Nonlinear Noncoercive Elliptic Equations with Measure Data
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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