Add to ORKGWe 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 grow superlinearly
Abstract. We start by introducing a new definition of solutions to heat-based SPDEs driven by space-...
AbstractWe prove convergence of the solutions Xn of semilinear stochastic evolution equations on a B...
Global controllability properties for the semilinear heat equation with superlinear term. A.Y. KHAPA...
AbstractThe paper is concerned with the problem of non-existence of global solutions for a class of ...
We prove the existence and uniqueness of global solutions to the semilinear stochastic heat equatio...
A condition is identified that implies that solutions to the stochastic reaction-diffusion equation...
For random measure-valued stochastic partial differential equations for biological processes, growth...
We study radially symmetric classical solutions of the Dirichlet problem for a heat equation with a ...
ABSTRACT. The existence and uniqueness of global solutions of a class of scalar stochastic functiona...
AbstractGlobal existence and uniqueness is proved for a stochastic reaction-diffusion equation with ...
We study existence of distributional solutions for two kinds of nonlinear evolution problems. In the...
Röckner M, Zhu R, Zhu X. Local existence and non-explosion of solutions for stochastic fractional pa...
This article concerns with the solution to a heat equation with a free boundary in n-dimensional sp...
A semilinear heat equation ut=Δu+f(u) with nonnegative measurable initial data is considered under t...
Abstract. We prove that perturbing the reaction–diffusion equation ut = uxx + (u+) p (p> 1), with...
Abstract. We start by introducing a new definition of solutions to heat-based SPDEs driven by space-...
AbstractWe prove convergence of the solutions Xn of semilinear stochastic evolution equations on a B...
Global controllability properties for the semilinear heat equation with superlinear term. A.Y. KHAPA...
AbstractThe paper is concerned with the problem of non-existence of global solutions for a class of ...
We prove the existence and uniqueness of global solutions to the semilinear stochastic heat equatio...
A condition is identified that implies that solutions to the stochastic reaction-diffusion equation...
For random measure-valued stochastic partial differential equations for biological processes, growth...
We study radially symmetric classical solutions of the Dirichlet problem for a heat equation with a ...
ABSTRACT. The existence and uniqueness of global solutions of a class of scalar stochastic functiona...
AbstractGlobal existence and uniqueness is proved for a stochastic reaction-diffusion equation with ...
We study existence of distributional solutions for two kinds of nonlinear evolution problems. In the...
Röckner M, Zhu R, Zhu X. Local existence and non-explosion of solutions for stochastic fractional pa...
This article concerns with the solution to a heat equation with a free boundary in n-dimensional sp...
A semilinear heat equation ut=Δu+f(u) with nonnegative measurable initial data is considered under t...
Abstract. We prove that perturbing the reaction–diffusion equation ut = uxx + (u+) p (p> 1), with...
Abstract. We start by introducing a new definition of solutions to heat-based SPDEs driven by space-...
AbstractWe prove convergence of the solutions Xn of semilinear stochastic evolution equations on a B...
Global controllability properties for the semilinear heat equation with superlinear term. A.Y. KHAPA...