Matches in SemOpenAlex for { <https://semopenalex.org/work/W2887608908> ?p ?o ?g. }
- W2887608908 abstract "We consider in this note the semilinear heat system $$partial_t u = Delta u + f(v), quad partial_t v = muDelta v + g(u), quad mu > 0,$$ where the nonlinearity has no gradient structure taking of the particular form $$f(v) = v|v|^{p-1} quad text{and}quad g(u) = u|u|^{q-1} quad text{with} quad p, q > 1, $$ or $$f(v) = e^{pv}quad text{and} quad g(u) = e^{qu} quad text{with} quad p,q > 0.$$ We exhibit type I blowup solutions for this system and give a precise description of its blowup profiles. The method relies on two-step procedure: the reduction of the problem to a finite dimensional one via a spectral analysis, then solving the finite dimensional problem by a classical topological argument based on index theory. As a consequence of our technique, the constructed solutions are stable under a small perturbation of initial data. The results and the main arguments presented in this note can be found in our papers [Ann. IHP 2018] and [JDEs 2018]." @default.
- W2887608908 created "2018-08-22" @default.
- W2887608908 creator A5046218817 @default.
- W2887608908 creator A5058912263 @default.
- W2887608908 creator A5084273687 @default.
- W2887608908 date "2018-08-15" @default.
- W2887608908 modified "2023-09-25" @default.
- W2887608908 title "Construction and Stability of type I blowup solutions for non-variational semilinear parabolic systems" @default.
- W2887608908 cites W1590853057 @default.
- W2887608908 cites W1647523290 @default.
- W2887608908 cites W1699287427 @default.
- W2887608908 cites W173067972 @default.
- W2887608908 cites W1935222074 @default.
- W2887608908 cites W1981117820 @default.
- W2887608908 cites W1982105518 @default.
- W2887608908 cites W1983481283 @default.
- W2887608908 cites W1987581434 @default.
- W2887608908 cites W1989420986 @default.
- W2887608908 cites W2000552548 @default.
- W2887608908 cites W2024792825 @default.
- W2887608908 cites W2029330474 @default.
- W2887608908 cites W2031382602 @default.
- W2887608908 cites W2038710529 @default.
- W2887608908 cites W2039872729 @default.
- W2887608908 cites W2040336583 @default.
- W2887608908 cites W2045063529 @default.
- W2887608908 cites W2046978909 @default.
- W2887608908 cites W2048316986 @default.
- W2887608908 cites W2057078612 @default.
- W2887608908 cites W2067248563 @default.
- W2887608908 cites W2080865216 @default.
- W2887608908 cites W2083585325 @default.
- W2887608908 cites W2088626733 @default.
- W2887608908 cites W2129608986 @default.
- W2887608908 cites W2528789216 @default.
- W2887608908 cites W2593640952 @default.
- W2887608908 cites W2760121104 @default.
- W2887608908 cites W2962766808 @default.
- W2887608908 cites W2963451452 @default.
- W2887608908 cites W2963574723 @default.
- W2887608908 cites W2963595768 @default.
- W2887608908 cites W2963797833 @default.
- W2887608908 cites W2963807293 @default.
- W2887608908 cites W2963914349 @default.
- W2887608908 cites W2963978416 @default.
- W2887608908 cites W2964071707 @default.
- W2887608908 cites W2964074788 @default.
- W2887608908 cites W2964112395 @default.
- W2887608908 cites W2964308817 @default.
- W2887608908 cites W2964333701 @default.
- W2887608908 cites W3104329741 @default.
- W2887608908 hasPublicationYear "2018" @default.
- W2887608908 type Work @default.
- W2887608908 sameAs 2887608908 @default.
- W2887608908 citedByCount "1" @default.
- W2887608908 countsByYear W28876089082019 @default.
- W2887608908 crossrefType "posted-content" @default.
- W2887608908 hasAuthorship W2887608908A5046218817 @default.
- W2887608908 hasAuthorship W2887608908A5058912263 @default.
- W2887608908 hasAuthorship W2887608908A5084273687 @default.
- W2887608908 hasConcept C112972136 @default.
- W2887608908 hasConcept C119857082 @default.
- W2887608908 hasConcept C121332964 @default.
- W2887608908 hasConcept C134306372 @default.
- W2887608908 hasConcept C158622935 @default.
- W2887608908 hasConcept C177918212 @default.
- W2887608908 hasConcept C18903297 @default.
- W2887608908 hasConcept C202444582 @default.
- W2887608908 hasConcept C2777299769 @default.
- W2887608908 hasConcept C33923547 @default.
- W2887608908 hasConcept C37914503 @default.
- W2887608908 hasConcept C41008148 @default.
- W2887608908 hasConcept C62520636 @default.
- W2887608908 hasConcept C86803240 @default.
- W2887608908 hasConceptScore W2887608908C112972136 @default.
- W2887608908 hasConceptScore W2887608908C119857082 @default.
- W2887608908 hasConceptScore W2887608908C121332964 @default.
- W2887608908 hasConceptScore W2887608908C134306372 @default.
- W2887608908 hasConceptScore W2887608908C158622935 @default.
- W2887608908 hasConceptScore W2887608908C177918212 @default.
- W2887608908 hasConceptScore W2887608908C18903297 @default.
- W2887608908 hasConceptScore W2887608908C202444582 @default.
- W2887608908 hasConceptScore W2887608908C2777299769 @default.
- W2887608908 hasConceptScore W2887608908C33923547 @default.
- W2887608908 hasConceptScore W2887608908C37914503 @default.
- W2887608908 hasConceptScore W2887608908C41008148 @default.
- W2887608908 hasConceptScore W2887608908C62520636 @default.
- W2887608908 hasConceptScore W2887608908C86803240 @default.
- W2887608908 hasLocation W28876089081 @default.
- W2887608908 hasOpenAccess W2887608908 @default.
- W2887608908 hasPrimaryLocation W28876089081 @default.
- W2887608908 hasRelatedWork W1511245542 @default.
- W2887608908 hasRelatedWork W1541339776 @default.
- W2887608908 hasRelatedWork W2108141549 @default.
- W2887608908 hasRelatedWork W2260184314 @default.
- W2887608908 hasRelatedWork W2297832920 @default.
- W2887608908 hasRelatedWork W2346157951 @default.
- W2887608908 hasRelatedWork W2418759606 @default.
- W2887608908 hasRelatedWork W2500143691 @default.
- W2887608908 hasRelatedWork W2579005708 @default.