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pro vyhledávání: '"Michael Salins"'
Autor:
Michael Salins
Publikováno v:
Transactions of the American Mathematical Society. 375:8083-8099
We describe sufficient conditions on the reaction terms and multiplicative noise terms of a stochastic reaction-diffusion equation that guarantee that the solutions never explode. Both the reaction term and multiplicative noise terms are allowed to g
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations. 11:503-598
Autor:
Michael Salins
Publikováno v:
Stochastic Processes and their Applications. 142:159-194
Large deviations principles characterize the exponential decay rates of the probabilities of rare events. Cerrai and Rockner (2004) proved that systems of stochastic reaction–diffusion equations satisfy a large deviations principle that is uniform
Autor:
Leila Setayeshgar, Michael Salins
Publikováno v:
Potential Analysis. 58:181-201
We prove a uniform large deviations principle for the law of the solutions to a class of Burgers-type stochastic partial differential equations in any space dimension. The equation has nonlinearities of polynomial growth of any order, the driving noi
Publikováno v:
The Annals of Probability. 49
In this paper we develop a metastability theory for a class of stochastic reaction–diffusion equations exposed to small multiplicative noise. We consider the case where the unperturbed reaction–diffusion equation features multiple asymptotically
Publikováno v:
Transactions of the American Mathematical Society. 372:8363-8421
We prove a large deviation principle (LDP) for a general class of Banach space valued stochastic differential equations (SDEs) that is uniform with respect to initial conditions in bounded subsets of the Banach space. A key step in the proof is showi
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations. 7:808-874
We study a large deviation principle for a system of stochastic reaction–diffusion equations (SRDEs) with a separation of fast and slow components and small noise in the slow component. The derivation of the large deviation principle is based on th
Autor:
Michael Salins
A condition is identified that implies that solutions to the stochastic reaction-diffusion equation $\frac{\partial u}{\partial t} = \mathcal{A} u + f(u) + \sigma(u) \dot{W}$ on a bounded spatial domain never explode. We consider the case where $\sig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bf76906ae1d0786be40e8c7a63dd236
Publikováno v:
Journal of Stochastic Analysis. 1
Autor:
Michael Salins
We prove the existence and uniqueness of the mild solution for a nonlinear stochastic heat equation defined on an unbounded spatial domain. The nonlinearity is not assumed to be globally, or even locally, Lipschitz continuous. Instead the nonlinearit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ce4f0912f5ad33fca50fefa1a529ec5