Michael Salins

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List of research outcomes

PublicationDate of PublicationType
Regularity of the law of solutions to the stochastic heat equation with non-Lipschitz reaction term2024-01-12Paper
Global solution for superlinear stochastic heat equation on $\mathbb{R}^d$ under Osgood-type conditions2023-10-03Paper
Solutions to the stochastic heat equation with polynomially growing multiplicative noise do not explode in the critical regime2023-09-08Paper
Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations2023-07-18Paper
Uniform large deviations for a class of Burgers-type stochastic partial differential equations in any space dimension2023-01-31Paper
Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain2022-10-04Paper
Existence and uniqueness of global solutions to the stochastic heat equation with superlinear drift on an unbounded spatial domain2022-09-30Paper
Global solutions for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity2022-02-22Paper
Existence and uniqueness for the mild solution of the stochastic heat equation with non-Lipschitz drift on an unbounded spatial domain2021-12-27Paper
Metastability and exit problems for systems of stochastic reaction-diffusion equations2021-12-08Paper
Systems of small-noise stochastic reaction-diffusion equations satisfy a large deviations principle that is uniform over all initial data2021-11-03Paper
Global solutions for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity2021-07-09Paper
Large deviations and averaging for systems of slow-fast stochastic reaction-diffusion equations2020-03-06Paper
Uniform large deviation principles for Banach space valued stochastic evolution equations2019-11-14Paper
Smoluchowski-Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension2019-10-09Paper
An improved uniqueness result for a system of stochastic differential equations related to the stochastic wave equation2019-09-12Paper
Equivalences and counterexamples between several definitions of the uniform large deviations principle2019-06-11Paper
Rare event simulation via importance sampling for linear SPDE's2018-03-28Paper
On uniqueness and blowup properties for a class of second order SDEs2017-10-25Paper
Markov processes with spatial delay: Path space characterization, occupation time and properties2017-09-29Paper
On dynamical systems perturbed by a null-recurrent motion: the general case2017-06-22Paper
On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior2017-01-09Paper
On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field2016-11-30Paper
On dynamical systems perturbed by a null-recurrent fast motion: the continuous coefficient case with independent driving noises2016-10-11Paper
Smoluchowski-Kramers approximation and large deviations for infinite-dimensional nongradient systems with applications to the exit problem2016-09-30Paper
On a general approach to Freidlin-Wentzell exit problems for stochastic equations in Banach spaces2014-10-01Paper
Smoluchowski–Kramers approximation and large deviations for infinite dimensional gradient systems2014-09-02Paper

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