Hölder-estimates for non-autonomous parabolic problems with rough data
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Publication:325345
DOI10.3934/eect.2016.5.147zbMath1353.35095OpenAlexW2596763019MaRDI QIDQ325345
Hannes Meinlschmidt, Joachim Rehberg
Publication date: 18 October 2016
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2016.5.147
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05)
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Cites Work
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- Maximal regularity for evolution equations governed by non-autonomous forms
- Non-autonomous maximal regularity for forms of bounded variation
- Maximal regularity for non-autonomous equations with measurable dependence on time
- Coercivity for elliptic operators and positivity of solutions on Lipschitz domains
- Maximal parabolic regularity for divergence operators including mixed boundary conditions
- Hölder continuity and optimal control for nonsmooth elliptic problems
- Maximal regularity for non-autonomous evolution equations
- Maximal regularity for nonsmooth parabolic problems in Sobolev-Morrey spaces
- Functional analysis, Sobolev spaces and partial differential equations
- On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems
- 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
- An optimal regularity result for a class of quasilinear parabolic systems
- Equilibrium configurations of defective crystals
- Extending Sobolev functions with partially vanishing traces from locally \(({\epsilon},{\delta})\)-domains and applications to mixed boundary problems
- Hölder estimates for second-order operators on domains with rough boundary
- The square root problem for second-order, divergence form operators with mixed boundary conditions on \(L^p\)
- Maximal regularity for non-autonomous evolution equations governed by forms having less regularity
- Elliptic model problems including mixed boundary conditions and material heterogeneities
- Optimal regularity for elliptic transmission problems including \(C^1\) interfaces
- Maximal Parabolic Regularity for Divergence Operators on Distribution Spaces
- Optimization with PDE Constraints
- Quasilinear Parabolic Systems with Mixed Boundary Conditions on Nonsmooth Domains
- Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
- W1,p-estimates of solutions to evolution equations corresponding to nonsmooth second order elliptic differential operators
- An Introduction to Variational Inequalities and Their Applications
- Interpolation for Function Spaces Related to Mixed Boundary Value Problems
- Maximal Regularity for Nonautonomous Evolution Equations
- Optimal Sobolev Regularity for Linear Second-Order Divergence Elliptic Operators Occurring in Real-World Problems
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