On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative

DOI10.1016/j.jmaa.2019.04.004zbMath1414.35041arXiv1807.05913OpenAlexW2934172488WikidataQ128108537 ScholiaQ128108537MaRDI QIDQ2633872

Davide Guidetti

Publication date: 10 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05913

zbMATH Keywords

spaces of continuous and Hölder continuous functionstwo maximal regularity results

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11)

Related Items (9)

A numerical scheme for the time-fractional diffusion equation by layer potentials ⋮ Non-autonomous maximal regularity for fractional evolution equations ⋮ Linear subdiffusion in weighted fractional Hölder spaces ⋮ On the Cauchy-Dirichlet problem for fully nonlinear equations with fractional time derivative ⋮ Equivalence of definitions of solutions for some class of fractional diffusion equations ⋮ On fully nonlinear equations with fractional time derivative: local existence and uniqueness, stable manifold ⋮ Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations ⋮ Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces ⋮ Initial-boundary value problems for multi-term time-fractional wave equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• On interpolation with boundary conditions
• Maximal regularity of type \(L_p\) for abstract parabolic Volterra equations
• Hölder continuous solutions for integro-differential equations and maximal regularity
• Abstract parabolic equations with applications to problems in cylindrical space domains
• A semigroup approach to the time dependent parabolic initial-boundary value problem
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• The fundamental solutions for the fractional diffusion-wave equation
• The parabolic mixed Cauchy-Dirichlet problem in spaces of functions which are Hölder continuous with respect to space variables
• Quasilinear evolutionary equations and continuous interpolation spaces.
• On time-fractional diffusion equations with space-dependent variable order
• Existence, regularity and representation of solutions of time fractional diffusion equations
• Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations
• Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients
• Cauchy problem for fractional diffusion equations
• A De Giorgi-Nash type theorem for time fractional diffusion equations
• Hölder continuous solutions for fractional differential equations and maximal regularity
• Boundary integral solution of the time-fractional diffusion equation
• On maximal regularity for abstract parabolic problems with fractional time derivative
• Boundary behavior of the layer potentials for the time fractional diffusion equation in Lipschitz domains
• On the solutions of the first boundary value problem for the linear parabolic equations
• Schauder estimates for equationswith fractional derivatives
• Solvability of a Dirichlet problem for a time fractional diffusion-wave equation in Lipschitz domains
• Generation of Analytic Semigroups by Strongly Elliptic Operators
• Analytic semigroups and optimal regularity in parabolic problems
• Commutativite de deux foncteurs d'interpolation et applications

This page was built for publication: On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative