Local solvability of a linear system with a fractional derivative in time in a boundary condition

DOI10.1515/fca-2015-0058zbMath1326.35416OpenAlexW2565610037MaRDI QIDQ2517204

Nataliya Vasylyeva

Publication date: 17 August 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2015-0058

zbMATH Keywords

elliptic equationCaputo derivativecoercive estimatesfractional dynamic boundary condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integral representations of solutions to PDEs (35C15) Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11)

Related Items

The Hele-Shaw problem with surface tension in the case of subdiffusion, Time-fractional diffusion equation with dynamical boundary condition

Cites Work

• Fractional-parabolic systems
• Existence and uniqueness of the solutions for some initial-boundary value problems with the fractional dynamic boundary condition
• On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• An exact solution of a limit case Stefan problem governed by a fractional diffusion equation
• Hopf lemma for the fractional diffusion operator and its application to a fractional free-boundary problem
• Fractals and fractional calculus in continuum mechanics
• On a nonclassical fractional boundary-value problem for the Laplace operator
• On the Stefan problem with surface tension in the \(L_p\) framework
• Linear and quasilinear elliptic equations
• The Hele-Shaw problem with surface tension in a half-plane: a model problem
• A new equivalence of Stefan’s problems for the time fractional diffusion equation
• On the local solvability of the two-dimensional Hele-Shaw problem with fractional derivative with respect to time
• On a class of fractional differential equations in a Sobolev space
• The fundamental solution of a diffusion-wave equation of fractional order
• On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition
• The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension
• Analytical solutions to the moving boundary problems with space–time-fractional derivatives in drug release devices
• Analytic semigroups and optimal regularity in parabolic problems
• Estimates for the solution of the second initial boundary-value problem for the Stokes system in the spaces of functions having Hölder continuous derivatives with respect to the spatial variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item