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Stochastic wave equations
We survey recent results concerning existence and uniqueness of solutions of non-linear stochastic wave equations...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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