Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memory

Caraballo Garrido, TomásChueshov, Igor D.Marín Rubio, PedroReal Anguas, José2015-04-082015-04-0820071078-0947http://hdl.handle.net/11441/23660The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. Sufficient conditions ensuring stability of the zero solution are provided and a possibility of stabilization by noise of the deterministic counterpart of the model is studied.application/pdfengAtribución-NoComercial-SinDerivadas 4.0 Españahttp://creativecommons.org/licenses/by-nc-nd/4.0Stochastic heat equationmaterials with memorymean square exponential stabilitystabilizationExistence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memoryinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.3934/dcds.2007.18.253