Maximal Parabolic Regularity for Divergence Operators on Distribution Spaces

DOI10.1007/978-3-0348-0075-4_17zbMath1270.35162OpenAlexW172704105MaRDI QIDQ2909936

Joachim Rehberg, Robert Haller-Dintelmann

Publication date: 7 September 2012

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0075-4_17

zbMATH Keywords

Lipschitz domainmixed Dirichlet-Neumann conditionsbounded measurable coefficients

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations (35K59)

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Cites Work

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• Coercivity for elliptic operators and positivity of solutions on Lipschitz domains
• Harmonic analysis on semigroups
• Maximal parabolic regularity for divergence operators including mixed boundary conditions
• Hölder continuity and optimal control for nonsmooth elliptic problems
• \(L^{p}\)-maximal regularity for nonautonomous evolution equations
• Maximal regularity for nonsmooth parabolic problems in Sobolev-Morrey spaces
• Semigroups of linear operators and applications to partial differential equations
• On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems
• Equations d'évolution linéaires associées à des semi-groupes de contractions dans les espaces \(L^ p\). (Evolution equations associated to contraction semigroups in \(L^ p\) spaces)
• A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
• Parabolic evolution equations and nonlinear boundary conditions
• Resolvent estimates in \(W^{-1,p}\) for second order elliptic differential operators in case of mixed boundary conditions
• An optimal regularity result for a class of quasilinear parabolic systems
• Neumann and mixed problems on curvilinear polyhedra
• On the asymptotic behaviour of some nonlocal problems
• Complex multiplicative perturbations of elliptic operators: heat kernel bounds and holomorphic functional calculus
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Optimal \(W^{1,p}\) regularity theory for parabolic equations in divergence form
• Elliptic model problems including mixed boundary conditions and material heterogeneities
• Optimal regularity for elliptic transmission problems including \(C^1\) interfaces
• Regularization of mixed second-order elliptic problems
• Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
• Semigroup kernels, Poisson bounds, and holomorphic functional calculus
• On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
• Quasilinear Parabolic Systems with Mixed Boundary Conditions on Nonsmooth Domains
• W1,p-estimates of solutions to evolution equations corresponding to nonsmooth second order elliptic differential operators
• Convergence of the phase field model to its sharp interface limits
• The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Interpolation for Function Spaces Related to Mixed Boundary Value Problems
• The Immersed Interface/Multigrid Methods for Interface Problems
• Reaction—Diffusion Processes of Electrically Charged Species
• W^1,q REGULARITY RESULTS FOR ELLIPTIC TRANSMISSION PROBLEMS ON HETEROGENEOUS POLYHEDRA
• Square roots of elliptic second order divergence operators on strongly Lipschitz domains: \(L^p\) theory
• Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss

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