On the existence and uniqueness of solutions of the Cauchy problem for wave equations with general stochastic measures

DOI10.1090/S0094-9000-2013-00873-4zbMath1274.60158MaRDI QIDQ2849275

D. M. Gorodnya

Publication date: 17 September 2013

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemgeneralized functionFréchet spacestochastic wave equationstochastic measure

Mathematics Subject Classification ID

Wave equation (35L05) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57) Distributions, generalized functions, distribution spaces (46F99)

Cites Work

• The stochastic wave equation in two spatial dimensions
• On a nonlinear stochastic wave equation in the plane: Existence and uniqueness of the solution
• The 1-d stochastic wave equation driven by a fractional Brownian sheet
• Heat equation and wave equation with general stochastic measures
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