Boundary regularity for solutions of degenerate parabolic equations

DOI10.1016/0362-546X(90)90038-IzbMath0703.35098OpenAlexW2037661142MaRDI QIDQ3482203

Gary M. Lieberman

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90038-i

zbMATH Keywords

existenceperturbationHölder continuityboundary value problemscaling

Mathematics Subject Classification ID

Related Items (13)

Boundary and initial regularity for solutions of degenerate parabolic equations ⋮ Initial regularity for solutions of degenerate parabolic equations ⋮ Global gradient bounds for the parabolicp-Laplacian system ⋮ Potential Estimates and Quasilinear Parabolic Equations with Measure Data ⋮ An inverse boundary value problem for the p -Laplacian: a linearization approach ⋮ Symmetry in a free boundary problem for degenerate parabolic equations on unbounded domains ⋮ Global Lorentz estimates for nonlinear parabolic equations on nonsmooth domains ⋮ $L^{\infty }$-regularity for a wide class of parabolic systems with general growth ⋮ Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data ⋮ Partial regularity result for non-autonomous elliptic systems with general growth ⋮ Partial regularity for elliptic systems with critical growth ⋮ Solvability analysis and numerical approximation of linearized cardiac electromechanics ⋮ Global weighted Lorentz estimates for parabolic equations with measure via strong fractional maximal functions

Cites Work

• Mixed boundary value problems for elliptic and parabolic differential equations of second order
• On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems
• Correction to ``Hölder continuity of the gradient of solutions of uniformly parabolic equations with conormal boundary conditions
• The conormal derivative problem for elliptic equations of variational type
• Schauder's existence theorem for alpha-Dini continuous data
• Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
• Linear and quasilinear elliptic equations
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Initial regularity for solutions of degenerate parabolic equations
• On an Interpolation Inequality and Its Applications to Nonlinear Elliptic Equations
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.
• Boundary regularity for solutions of degenerate elliptic equations
• Hölder Continuity of Solutions of Parabolic Equations
• Pointwise estimates and quasilinear parabolic equations
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