Matches in SemOpenAlex for { <https://semopenalex.org/work/W2898626020> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2898626020 abstract "In this paper, we investigate the problem of optimal regularity for derivative semilinear wave equations to be locally well-posed in $H^{s}$ with spatial dimension $n leq 5$. We show this equation, with power $2le ple 1+4/(n-1)$, is (strongly) ill-posed in $H^{s}$ with $s = (n+5)/4$ in general. Moreover, when the nonlinearity is quadratic we establish a characterization of the structure of nonlinear terms in terms of the regularity. As a byproduct, we give an alternative proof of the failure of the local in time endpoint scale-invariant $L_{t}^{4/(n-1)}L_{x}^{infty}$ Strichartz estimates. Finally, as an application, we also prove ill-posed results for some semilinear half wave equations." @default.
- W2898626020 created "2018-11-09" @default.
- W2898626020 creator A5008156463 @default.
- W2898626020 creator A5038187283 @default.
- W2898626020 date "2018-11-02" @default.
- W2898626020 modified "2023-09-27" @default.
- W2898626020 title "Concerning ill-posedness for semilinear wave equations" @default.
- W2898626020 cites W1547431580 @default.
- W2898626020 cites W1558594136 @default.
- W2898626020 cites W1586623601 @default.
- W2898626020 cites W166242285 @default.
- W2898626020 cites W1998386928 @default.
- W2898626020 cites W2024531006 @default.
- W2898626020 cites W2033850436 @default.
- W2898626020 cites W2046707108 @default.
- W2898626020 cites W2071245886 @default.
- W2898626020 cites W2094257571 @default.
- W2898626020 cites W2325914612 @default.
- W2898626020 cites W2560035304 @default.
- W2898626020 cites W2574142112 @default.
- W2898626020 cites W2798853713 @default.
- W2898626020 cites W2963850962 @default.
- W2898626020 cites W2963998171 @default.
- W2898626020 cites W2964287573 @default.
- W2898626020 cites W2982666366 @default.
- W2898626020 cites W2990560269 @default.
- W2898626020 doi "https://doi.org/10.48550/arxiv.1811.00929" @default.
- W2898626020 hasPublicationYear "2018" @default.
- W2898626020 type Work @default.
- W2898626020 sameAs 2898626020 @default.
- W2898626020 citedByCount "0" @default.
- W2898626020 crossrefType "posted-content" @default.
- W2898626020 hasAuthorship W2898626020A5008156463 @default.
- W2898626020 hasAuthorship W2898626020A5038187283 @default.
- W2898626020 hasBestOaLocation W28986260201 @default.
- W2898626020 hasConcept C120665830 @default.
- W2898626020 hasConcept C121332964 @default.
- W2898626020 hasConcept C129844170 @default.
- W2898626020 hasConcept C134306372 @default.
- W2898626020 hasConcept C158622935 @default.
- W2898626020 hasConcept C190470478 @default.
- W2898626020 hasConcept C202444582 @default.
- W2898626020 hasConcept C2524010 @default.
- W2898626020 hasConcept C2780841128 @default.
- W2898626020 hasConcept C28826006 @default.
- W2898626020 hasConcept C33676613 @default.
- W2898626020 hasConcept C33923547 @default.
- W2898626020 hasConcept C37914503 @default.
- W2898626020 hasConcept C59696629 @default.
- W2898626020 hasConcept C62520636 @default.
- W2898626020 hasConceptScore W2898626020C120665830 @default.
- W2898626020 hasConceptScore W2898626020C121332964 @default.
- W2898626020 hasConceptScore W2898626020C129844170 @default.
- W2898626020 hasConceptScore W2898626020C134306372 @default.
- W2898626020 hasConceptScore W2898626020C158622935 @default.
- W2898626020 hasConceptScore W2898626020C190470478 @default.
- W2898626020 hasConceptScore W2898626020C202444582 @default.
- W2898626020 hasConceptScore W2898626020C2524010 @default.
- W2898626020 hasConceptScore W2898626020C2780841128 @default.
- W2898626020 hasConceptScore W2898626020C28826006 @default.
- W2898626020 hasConceptScore W2898626020C33676613 @default.
- W2898626020 hasConceptScore W2898626020C33923547 @default.
- W2898626020 hasConceptScore W2898626020C37914503 @default.
- W2898626020 hasConceptScore W2898626020C59696629 @default.
- W2898626020 hasConceptScore W2898626020C62520636 @default.
- W2898626020 hasLocation W28986260201 @default.
- W2898626020 hasOpenAccess W2898626020 @default.
- W2898626020 hasPrimaryLocation W28986260201 @default.
- W2898626020 hasRelatedWork W1775499059 @default.
- W2898626020 hasRelatedWork W2025735959 @default.
- W2898626020 hasRelatedWork W2037136538 @default.
- W2898626020 hasRelatedWork W2053601411 @default.
- W2898626020 hasRelatedWork W2105325102 @default.
- W2898626020 hasRelatedWork W2120921856 @default.
- W2898626020 hasRelatedWork W2767905351 @default.
- W2898626020 hasRelatedWork W2883419212 @default.
- W2898626020 hasRelatedWork W4229518141 @default.
- W2898626020 hasRelatedWork W4281745187 @default.
- W2898626020 isParatext "false" @default.
- W2898626020 isRetracted "false" @default.
- W2898626020 magId "2898626020" @default.
- W2898626020 workType "article" @default.