Applications of the Hille-Yosida theorem to the linearized equations of coupled sound and heat flow

DOI10.3934/MATH.2016.3.165zbMath1428.35104MaRDI QIDQ2335184

Ayaka Matsubara, Tomomi Yokota

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

zbMATH Keywords

monotone operatorshomogeneous Dirichlet boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Related Items (2)

Time discretization of a nonlocal phase-field system with inertial term ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Functional analysis, Sobolev spaces and partial differential equations
• Coupled Sound and Heat Flow and the Method of Least Squares

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