Construction of solutions of a semilinear parabolic equation with the aid of the linear Boltzmann equation

zbMath0562.35047MaRDI QIDQ1056822

Tetsuro Miyakawa

Publication date: 1984

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

diffusion approximationsemilinear parabolic equationnonlinear semigroupslinear Boltzmann equationsmoothing parameterlinear diffusion modelssemilinear first order hyperbolic equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Classical equilibrium statistical mechanics (general) (82B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

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