Convergence of semigroups with an application to the carleman equation

DOI10.1002/mma.1670020305zbMath0445.35029OpenAlexW2012363778MaRDI QIDQ3889438

Gary K. Leaf, Hans G. Kaper, Simeon Reich

Publication date: 1980

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670020305

zbMATH Keywords

nonlinear semigroupsconvergence of semigroupsCarleman equationlimiting semigroupfluid semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear differential equations in abstract spaces (34G20) Classical equilibrium statistical mechanics (general) (82B05) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (11)

Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity ⋮ Convergence of singularly perturbed nonlinear hyperbolic systems ⋮ Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction ⋮ Existence theorems for fast diffusion equations ⋮ On a nonlinear singular diffusion problem:existence and uniqueness ⋮ Initial value problems for the Carleman equation ⋮ Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source ⋮ On a nonlinear singular diffusion problem: convergence to a traveling wave ⋮ The fluid dynamical limit of the Carleman equation with reflecting boundary ⋮ Initial boundary value problems for the Carleman equation ⋮ The decay of solutions of the Carleman model

Cites Work

• The central limit theorem for Carleman's equation

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