Existence, uniqueness and smoothnessfor a class of function valued stochastic partial differential equations

Autor:	Kotelenez Peter
Rok vydání:	1992
Předmět:	Stochastic partial differential equation Partial differential equation Smoothness (probability theory) Uniqueness theorem for Poisson's equation Function space Mathematical analysis Applied mathematics Existence theorem Uniqueness Function (mathematics) Mathematics
Zdroj:	Stochastics and Stochastic Reports. 41:177-199
ISSN:	1045-1129
Popis:	A class of function valued stochastic partial differential equations (SPDL's) is studied, including SPDE's driven by space-time white noise. Existence, uniqueness and smoothness of the mild solution on function spaces with weights are proved, For smoothness a multiparameter approach is used. The relation of this approach to the evolution equation approach is discussed in detail
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::36a271500c2d64d8a527f050014420ff https://doi.org/10.1080/17442509208833801 Zobrazit plný text záznamu