Generalized uniformly continuous semigroups and semilinear hyperbolic systems with regularized derivatives

DOI10.1007/S00605-009-0096-0zbMath1190.35140OpenAlexW2068378782MaRDI QIDQ967599

Danijela Rajter-Ćirić, Marko Nedeljkov

Publication date: 30 April 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0096-0

zbMATH Keywords

systems with singularities

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (3)

A nonlinear stochastic heat equation with variable thermal conductivity and multiplicative noise ⋮ Fractional nonlinear stochastic heat equation with variable thermal conductivity ⋮ Reaction-advection-diffusion equations with space fractional derivatives and variable coefficients on infinite domain

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Distributions and nonlinear partial differential equations
• Generalized solutions to partial differential equations of evolution type
• Heat equation with singular potential and singular data

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