Application of nonlinear semigroup theory to a system of PDEs governing diffusion processes in a heterogeneous medium

DOI10.1016/0362-546X(92)90047-IzbMath0755.35054OpenAlexW2082103782MaRDI QIDQ4008899

Xiangsheng Xu

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90047-i

zbMATH Keywords

heat conduction\(m\)-accretive operatorsphase changehomogeneous mediumintegral solutionspassage to the limitmaximal monotone graphscomposite mediumoperators in a Banach spacewell-posedness of initial-boundary-value problem

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear parabolic equations (35K55) Nonlinear accretive operators, dissipative operators, etc. (47H06) Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

A system of singular quasilinear parabolic equations

Cites Work

• A singular quasilinear diffusion equation in \(L^ 1\)
• Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions
• A free-boundary problem for a degenerate parabolic system
• Semi-linear second-order elliptic equations in \(L^1\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Application of nonlinear semigroup theory to a system of PDEs governing diffusion processes in a heterogeneous medium