Matches in SemOpenAlex for { <https://semopenalex.org/work/W209041529> ?p ?o ?g. }
- W209041529 abstract "We provide in this work a semigroup approach to the study of singular PDEs, in the line of the paracontrolled approach developed recently by Gubinelli, Imkeller and Perkowski. Starting from a heat semigroup, we develop a functional calculus and introduce a paraproduct based on the semigroup, for which commutator estimates and Schauder estimates are proved, together with their paracontrolled extensions. This machinery allows us to investigate singular PDEs in potentially unbounded Riemannian manifolds under mild geometric conditions. As an illustration, we study the generalized parabolic Anderson model equation and prove, under mild geometric conditions, its well-posed character in Holders spaces, in small time on a potentially unbounded 2-dimensional Riemannian manifold, for an equation driven by a weighted noise, and for all times for the linear parabolic Anderson model equation in 2-dimensional unbounded manifolds. This machinery can be extended to an even more singular setting and deal with Sobolev scales of spaces rather than Holder spaces." @default.
- W209041529 created "2016-06-24" @default.
- W209041529 creator A5062490439 @default.
- W209041529 creator A5086183790 @default.
- W209041529 date "2015-01-27" @default.
- W209041529 modified "2023-09-30" @default.
- W209041529 title "Heat semigroup and singular PDEs" @default.
- W209041529 cites W1482034341 @default.
- W209041529 cites W1489373617 @default.
- W209041529 cites W1502813799 @default.
- W209041529 cites W1520461790 @default.
- W209041529 cites W1547357416 @default.
- W209041529 cites W1549594183 @default.
- W209041529 cites W1569145573 @default.
- W209041529 cites W1595988316 @default.
- W209041529 cites W1599382417 @default.
- W209041529 cites W166242285 @default.
- W209041529 cites W1685326906 @default.
- W209041529 cites W1698081298 @default.
- W209041529 cites W1797980452 @default.
- W209041529 cites W1846401183 @default.
- W209041529 cites W1864653242 @default.
- W209041529 cites W1971519868 @default.
- W209041529 cites W1983516815 @default.
- W209041529 cites W1992831978 @default.
- W209041529 cites W1996316090 @default.
- W209041529 cites W1997313049 @default.
- W209041529 cites W2004095444 @default.
- W209041529 cites W2004702414 @default.
- W209041529 cites W2007311454 @default.
- W209041529 cites W2015551271 @default.
- W209041529 cites W2041026549 @default.
- W209041529 cites W2048920969 @default.
- W209041529 cites W2054977159 @default.
- W209041529 cites W2055112143 @default.
- W209041529 cites W2087679909 @default.
- W209041529 cites W2098474757 @default.
- W209041529 cites W2117259115 @default.
- W209041529 cites W2120692600 @default.
- W209041529 cites W2131099969 @default.
- W209041529 cites W2163638184 @default.
- W209041529 cites W2256880577 @default.
- W209041529 cites W2389411387 @default.
- W209041529 cites W246953086 @default.
- W209041529 cites W2963214639 @default.
- W209041529 cites W2963270985 @default.
- W209041529 cites W2963286638 @default.
- W209041529 cites W2964174019 @default.
- W209041529 cites W2964206357 @default.
- W209041529 cites W3100351870 @default.
- W209041529 cites W3103573252 @default.
- W209041529 cites W3106345291 @default.
- W209041529 cites W378919085 @default.
- W209041529 cites W615516335 @default.
- W209041529 cites W617501864 @default.
- W209041529 doi "https://doi.org/10.48550/arxiv.1501.06822" @default.
- W209041529 hasPublicationYear "2015" @default.
- W209041529 type Work @default.
- W209041529 sameAs 209041529 @default.
- W209041529 citedByCount "1" @default.
- W209041529 countsByYear W2090415292017 @default.
- W209041529 crossrefType "posted-content" @default.
- W209041529 hasAuthorship W209041529A5062490439 @default.
- W209041529 hasAuthorship W209041529A5086183790 @default.
- W209041529 hasBestOaLocation W2090415291 @default.
- W209041529 hasConcept C127413603 @default.
- W209041529 hasConcept C134306372 @default.
- W209041529 hasConcept C136119220 @default.
- W209041529 hasConcept C145620117 @default.
- W209041529 hasConcept C18762648 @default.
- W209041529 hasConcept C202444582 @default.
- W209041529 hasConcept C202787564 @default.
- W209041529 hasConcept C207405024 @default.
- W209041529 hasConcept C2779593128 @default.
- W209041529 hasConcept C2779751289 @default.
- W209041529 hasConcept C33923547 @default.
- W209041529 hasConcept C529865628 @default.
- W209041529 hasConcept C73648015 @default.
- W209041529 hasConcept C78519656 @default.
- W209041529 hasConcept C99730327 @default.
- W209041529 hasConceptScore W209041529C127413603 @default.
- W209041529 hasConceptScore W209041529C134306372 @default.
- W209041529 hasConceptScore W209041529C136119220 @default.
- W209041529 hasConceptScore W209041529C145620117 @default.
- W209041529 hasConceptScore W209041529C18762648 @default.
- W209041529 hasConceptScore W209041529C202444582 @default.
- W209041529 hasConceptScore W209041529C202787564 @default.
- W209041529 hasConceptScore W209041529C207405024 @default.
- W209041529 hasConceptScore W209041529C2779593128 @default.
- W209041529 hasConceptScore W209041529C2779751289 @default.
- W209041529 hasConceptScore W209041529C33923547 @default.
- W209041529 hasConceptScore W209041529C529865628 @default.
- W209041529 hasConceptScore W209041529C73648015 @default.
- W209041529 hasConceptScore W209041529C78519656 @default.
- W209041529 hasConceptScore W209041529C99730327 @default.
- W209041529 hasLocation W2090415291 @default.
- W209041529 hasLocation W2090415292 @default.
- W209041529 hasLocation W2090415293 @default.
- W209041529 hasLocation W2090415294 @default.
- W209041529 hasLocation W2090415295 @default.