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40 664 (0,091s)

Result

Stochastic wave equations

We survey recent results concerning existence and uniqueness of solutions of non-linear stochastic wave equations...

BA - Obecná matematika

  • 2006
  • D
Result

Invariant measures for stochastic nonlinear beam and wave equations

Existence of an invariant measure for a stochastic extensible beam equation and for a stochastic damped wave equation with polynomial nonlinearities is proved. It is shown first that the corresponding tran...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Strong solutions to stochastic wave equations with values in Riemannian manifolds

We prove existence and uniqueness of a global solution of a stochastic wave equation in an arbitrary Riemannian manifold. The solution is defined on the 1+1 dimensional Minkowski space, and the driving noise is a spatially ...

BA - Obecná matematika

  • 2007
  • Jx
Result

Stochastic geometric wave equations with values in Riemannian homogeneous spaces

Existence of a global weak solution of a stochastic wave equation in any dimension with continuous nonlinearities, driven by a spatially homogeneous Wiener process is proved....

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds

Existence of a global weak solution of a stochastic wave equation with values in a compact Riemannian manifod driven by a spatially homogeneous Wiener process with finite spectral measure is proved. A recently introduced ge...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

Stochastic nonlinear wave equations in local Sobolev spaces

Existence of weak solutions of stochastic wave equations with nonlinearities of a critical growth driven by spatially homogeneous Wiener processes is established in local Sobolev spaces and local energy estimates for these ...

BA - Obecná matematika

  • 2010
  • Jx
Result

Parameter Estimation for Stochastic Wave Equation Based on Observation Window

Main topics of the document: stochastic wave equation; parameter estimation; strong consistency; asymptotic normality...

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

Stochastic wave equation with critical nonlinearities: Temporal regularity and uniqueness

Pathwise uniqueness and norm continuity of paths of solutions of a wave equation with sub-critical and critical nonlinearities driven by a spatially homogeneous Wiener process is studied....

BA - Obecná matematika

  • 2010
  • Jx
Result

Large deviations for (1+1)-dimensional stochastic geometric wave equation

We consider stochastic wave map equation on real line with solutions taking values in a d-dimensional compact Riemannian manifold. We show first that this equation has unique, global, strong in PDE sense, solution ...

Pure mathematics

  • 2022
  • Jimp
  • Link
Result

Unigueness for stochastic non-linear wave equations

We prove uniqueness of solutions of a non-linear stochastic wave equation driven by a spatially homogeneous Wiener process where the non-linearities are locally Lipschitz functions of subcritical growth. The result is non-t...

BA - Obecná matematika

  • 2007
  • Jx
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