NONLINEAR STOCHASTIC WAVE EQUATION WITH COLOMBEAU GENERALIZED STOCHASTIC PROCESSES

DOI10.1142/S0218202502001842zbMath1024.60027MaRDI QIDQ4798983

Marko Nedeljkov, Danijela Rajter

Publication date: 16 March 2003

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

zbMATH Keywords

generalized solutionsnonlinear stochastic wave equationsgeneralized stochastic processesstochastic Klein-Gordon equation

Mathematics Subject Classification ID

Related Items (9)

FOUNDATION OF THE FRACTIONAL CALCULUS IN GENERALIZED FUNCTION ALGEBRAS ⋮ Study of nonlinear stochastic Cauchy problems in $(\mathcal{C},\mathcal{E},\mathcal{P})$-algebras ⋮ Wave equation driven by fractional generalized stochastic processes ⋮ One-Dimensional Nonlinear Stochastic Wave Equation and Triviality Effect ⋮ Some nonlinear stochastic Cauchy problems with generalized stochastic processes ⋮ Nonlinear stochastic differential equations containing generalized delta processes ⋮ Nonlinear parabolic equations with singularities in Colombeau vector spaces ⋮ Nonlinear parabolic equations with regularized derivatives in Colombeau algebra ⋮ Fractional derivatives of multidimensional Colombeau generalized stochastic processes

Cites Work

• Nonlinear stochastic wave equations
• Semi-linear wave equations
• Generalized Solutions to the Korteweg–de Vries and the Regularized Long-Wave Equations
• Trivial solutions for a non-lineartwo-space dimensional wave equation perturbed by space-time white noise

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