About: Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process     Goto   Sponge   NotDistinct   Permalink

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  • Semilinear second order stochastic hyperbolic equations driven by a spatially homogeneous Wiener process are studied. Sufficient conditions in terms of Lyapunov functions for the equation to have global mild or strong solutions are found. In particular, the results apply to equations with polynomial drift and diffusion coefficients.
  • Semilinear second order stochastic hyperbolic equations driven by a spatially homogeneous Wiener process are studied. Sufficient conditions in terms of Lyapunov functions for the equation to have global mild or strong solutions are found. In particular, the results apply to equations with polynomial drift and diffusion coefficients. (en)
  • Zkoumají se stochastické hyperbolické rovnice druhého řádu pertrubované prostorově stejnorodým Wienerovým procesem. Jsou nalezeny postačující podmínky ljapunovského typu pro existenci %22mild%22 a silných řešení rovnic. Výsledky lze, kupříkladu, užít na rovnice a s polynomiálními nelinearitami v driftu a v difuzi. (cs)
Title
  • Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process
  • Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process (en)
  • Existence globálních%22mild%22 a silných řešení stochastických hyperbolických evolučních rovnic perturbovaných prostorově stejnorodým Wienerovým procesem. (cs)
skos:prefLabel
  • Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process
  • Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process (en)
  • Existence globálních%22mild%22 a silných řešení stochastických hyperbolických evolučních rovnic perturbovaných prostorově stejnorodým Wienerovým procesem. (cs)
skos:notation
  • RIV/67985840:_____/04:00106835!RIV/2005/GA0/A05005/N
http://linked.open.../vavai/riv/strany
  • 169;191
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  • P(GA201/01/1197), Z(AV0Z1019905)
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  • 2
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  • 563605
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  • RIV/67985840:_____/04:00106835
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  • stochastic hyperbolic equations;homogeneous Wiener process (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [31254DB5B1B5]
http://linked.open...i/riv/nazevZdroje
  • Journal of Evolution Equations
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http://linked.open...UplatneniVysledku
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  • 4
http://linked.open...iv/tvurceVysledku
  • Ondreját, Martin
http://linked.open...n/vavai/riv/zamer
issn
  • 1424-3199
number of pages
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