Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100807167> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W3100807167 endingPage "349" @default.
- W3100807167 startingPage "329" @default.
- W3100807167 abstract "We consider systems of stochastic evolutionary equations of the type $$d{bf u} = {rm div},{bf S}(nabla {bf u}),dt + Phi({bf u})d{bf W}_t$$ where S is a non-linear operator, for instance the p-Laplacian $${bf S}(mathbf{xi}) = (1 + |mathbf{xi}|)^{p-2} mathbf{xi}, quad mathbf{xi} in mathbb{R}^{d times D},$$ with $${p in (1, infty)}$$ and Φ grows linearly. We extend known results about the deterministic problem to the stochastic situation. First we verify the natural regularity: $$mathbb{E}bigg[mathop{sup}limits_{t in (0, T)} int_{G'}|nabla{bf u}(t)|^2,dx + int_0^T int_{G'}|nabla{bf F}(nabla{bf u})|^2,dx,dtbigg] < infty,$$ where $${{bf F}(mathbf{xi}) = (1 + |mathbf{xi}|)^{frac{p-2}{2}} mathbf{xi}}$$ . If we have Uhlenbeck-structure then $${mathbb{E}big[|nabla{bf u}|_q^qbig]}$$ is finite for all $${q < infty}$$ if the same is true for the initial data." @default.
- W3100807167 created "2020-11-23" @default.
- W3100807167 creator A5018745301 @default.
- W3100807167 date "2014-09-21" @default.
- W3100807167 modified "2023-10-18" @default.
- W3100807167 title "Regularity theory for nonlinear systems of SPDEs" @default.
- W3100807167 cites W1866311589 @default.
- W3100807167 cites W1967745713 @default.
- W3100807167 cites W1976281666 @default.
- W3100807167 cites W1980667640 @default.
- W3100807167 cites W1981007600 @default.
- W3100807167 cites W1993988025 @default.
- W3100807167 cites W1999691346 @default.
- W3100807167 cites W2002173024 @default.
- W3100807167 cites W2005315176 @default.
- W3100807167 cites W2024809264 @default.
- W3100807167 cites W2039634154 @default.
- W3100807167 cites W2058108894 @default.
- W3100807167 cites W2058901392 @default.
- W3100807167 cites W2058948030 @default.
- W3100807167 cites W2068228997 @default.
- W3100807167 cites W2072685235 @default.
- W3100807167 cites W2075516174 @default.
- W3100807167 cites W2083230936 @default.
- W3100807167 cites W2088636834 @default.
- W3100807167 cites W2097536962 @default.
- W3100807167 cites W2109931903 @default.
- W3100807167 cites W2122543191 @default.
- W3100807167 cites W2134041353 @default.
- W3100807167 cites W2140084118 @default.
- W3100807167 cites W2166231663 @default.
- W3100807167 cites W2497367977 @default.
- W3100807167 cites W3104084991 @default.
- W3100807167 cites W4211068752 @default.
- W3100807167 cites W4229588332 @default.
- W3100807167 cites W4231119765 @default.
- W3100807167 cites W4245165608 @default.
- W3100807167 cites W4300475775 @default.
- W3100807167 cites W47332096 @default.
- W3100807167 doi "https://doi.org/10.1007/s00229-014-0704-8" @default.
- W3100807167 hasPublicationYear "2014" @default.
- W3100807167 type Work @default.
- W3100807167 sameAs 3100807167 @default.
- W3100807167 citedByCount "12" @default.
- W3100807167 countsByYear W31008071672015 @default.
- W3100807167 countsByYear W31008071672016 @default.
- W3100807167 countsByYear W31008071672019 @default.
- W3100807167 countsByYear W31008071672020 @default.
- W3100807167 countsByYear W31008071672021 @default.
- W3100807167 countsByYear W31008071672022 @default.
- W3100807167 countsByYear W31008071672023 @default.
- W3100807167 crossrefType "journal-article" @default.
- W3100807167 hasAuthorship W3100807167A5018745301 @default.
- W3100807167 hasBestOaLocation W31008071672 @default.
- W3100807167 hasConcept C114614502 @default.
- W3100807167 hasConcept C121332964 @default.
- W3100807167 hasConcept C134306372 @default.
- W3100807167 hasConcept C165700671 @default.
- W3100807167 hasConcept C18903297 @default.
- W3100807167 hasConcept C2777299769 @default.
- W3100807167 hasConcept C2779557605 @default.
- W3100807167 hasConcept C33923547 @default.
- W3100807167 hasConcept C54207081 @default.
- W3100807167 hasConcept C62520636 @default.
- W3100807167 hasConcept C86803240 @default.
- W3100807167 hasConceptScore W3100807167C114614502 @default.
- W3100807167 hasConceptScore W3100807167C121332964 @default.
- W3100807167 hasConceptScore W3100807167C134306372 @default.
- W3100807167 hasConceptScore W3100807167C165700671 @default.
- W3100807167 hasConceptScore W3100807167C18903297 @default.
- W3100807167 hasConceptScore W3100807167C2777299769 @default.
- W3100807167 hasConceptScore W3100807167C2779557605 @default.
- W3100807167 hasConceptScore W3100807167C33923547 @default.
- W3100807167 hasConceptScore W3100807167C54207081 @default.
- W3100807167 hasConceptScore W3100807167C62520636 @default.
- W3100807167 hasConceptScore W3100807167C86803240 @default.
- W3100807167 hasIssue "3-4" @default.
- W3100807167 hasLocation W31008071671 @default.
- W3100807167 hasLocation W31008071672 @default.
- W3100807167 hasLocation W31008071673 @default.
- W3100807167 hasLocation W31008071674 @default.
- W3100807167 hasOpenAccess W3100807167 @default.
- W3100807167 hasPrimaryLocation W31008071671 @default.
- W3100807167 hasRelatedWork W1978042415 @default.
- W3100807167 hasRelatedWork W2002699267 @default.
- W3100807167 hasRelatedWork W2019004897 @default.
- W3100807167 hasRelatedWork W2045715842 @default.
- W3100807167 hasRelatedWork W2105880240 @default.
- W3100807167 hasRelatedWork W2349865494 @default.
- W3100807167 hasRelatedWork W2372553222 @default.
- W3100807167 hasRelatedWork W2566242093 @default.
- W3100807167 hasRelatedWork W2925832130 @default.
- W3100807167 hasRelatedWork W3157620392 @default.
- W3100807167 hasVolume "146" @default.
- W3100807167 isParatext "false" @default.
- W3100807167 isRetracted "false" @default.
- W3100807167 magId "3100807167" @default.
- W3100807167 workType "article" @default.