FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2065561490> ?p ?o ?g. }

• W2065561490 abstract "Consider the nonlinear heat equation v_t-Delta v=|v|^{p-1}v in the unit ball of R^2, with Dirichlet boundary condition. Let u_{p,K} be a radially symmetric, sign-changing stationary solution having a fixed number K of nodal regions. We prove that the solution of the equation with initial value lambda u_{p,K} blows up in finite time if |lambda-1|>0 is sufficiently small and if p is sufficiently large. The proof is based on the analysis of the asymptotic behavior of $u_{p,K}$ and of the linearized operator L= -Delta - p |u_{p,K}|^{p-1}. To show this we consider the linearized operator L= -Delta - p|u_p|^{p-1} and study the behavior of its first eigenvalue and of its first normalized eigenfunction for large p." @default.
• W2065561490 created "2016-06-24" @default.
• W2065561490 creator A5028832533 @default.
• W2065561490 creator A5045308426 @default.
• W2065561490 creator A5055394791 @default.
• W2065561490 date "2013-04-09" @default.
• W2065561490 modified "2023-09-27" @default.
• W2065561490 title "Sign-changing stationary solutions and blowup for the nonlinear heat equation in dimension two" @default.
• W2065561490 cites W1496662771 @default.
• W2065561490 cites W1588331582 @default.
• W2065561490 cites W1866311589 @default.
• W2065561490 cites W1989262951 @default.
• W2065561490 cites W2019761882 @default.
• W2065561490 cites W2039816207 @default.
• W2065561490 cites W2053567178 @default.
• W2065561490 cites W2067069245 @default.
• W2065561490 cites W2073770211 @default.
• W2065561490 cites W2080419623 @default.
• W2065561490 cites W2089808804 @default.
• W2065561490 cites W2103821129 @default.
• W2065561490 cites W2169720960 @default.
• W2065561490 cites W2548191185 @default.
• W2065561490 cites W2950506194 @default.
• W2065561490 hasPublicationYear "2013" @default.
• W2065561490 type Work @default.
• W2065561490 sameAs 2065561490 @default.
• W2065561490 citedByCount "4" @default.
• W2065561490 countsByYear W20655614902013 @default.
• W2065561490 countsByYear W20655614902014 @default.
• W2065561490 crossrefType "posted-content" @default.
• W2065561490 hasAuthorship W2065561490A5028832533 @default.
• W2065561490 hasAuthorship W2065561490A5045308426 @default.
• W2065561490 hasAuthorship W2065561490A5055394791 @default.
• W2065561490 hasConcept C104317684 @default.
• W2065561490 hasConcept C110167270 @default.
• W2065561490 hasConcept C114614502 @default.
• W2065561490 hasConcept C121332964 @default.
• W2065561490 hasConcept C122041747 @default.
• W2065561490 hasConcept C128803854 @default.
• W2065561490 hasConcept C134306372 @default.
• W2065561490 hasConcept C139676723 @default.
• W2065561490 hasConcept C158448853 @default.
• W2065561490 hasConcept C158622935 @default.
• W2065561490 hasConcept C158693339 @default.
• W2065561490 hasConcept C169214877 @default.
• W2065561490 hasConcept C17020691 @default.
• W2065561490 hasConcept C182310444 @default.
• W2065561490 hasConcept C185592680 @default.
• W2065561490 hasConcept C191948623 @default.
• W2065561490 hasConcept C202787564 @default.
• W2065561490 hasConcept C2778113609 @default.
• W2065561490 hasConcept C33676613 @default.
• W2065561490 hasConcept C33923547 @default.
• W2065561490 hasConcept C37914503 @default.
• W2065561490 hasConcept C55493867 @default.
• W2065561490 hasConcept C62520636 @default.
• W2065561490 hasConcept C86339819 @default.
• W2065561490 hasConceptScore W2065561490C104317684 @default.
• W2065561490 hasConceptScore W2065561490C110167270 @default.
• W2065561490 hasConceptScore W2065561490C114614502 @default.
• W2065561490 hasConceptScore W2065561490C121332964 @default.
• W2065561490 hasConceptScore W2065561490C122041747 @default.
• W2065561490 hasConceptScore W2065561490C128803854 @default.
• W2065561490 hasConceptScore W2065561490C134306372 @default.
• W2065561490 hasConceptScore W2065561490C139676723 @default.
• W2065561490 hasConceptScore W2065561490C158448853 @default.
• W2065561490 hasConceptScore W2065561490C158622935 @default.
• W2065561490 hasConceptScore W2065561490C158693339 @default.
• W2065561490 hasConceptScore W2065561490C169214877 @default.
• W2065561490 hasConceptScore W2065561490C17020691 @default.
• W2065561490 hasConceptScore W2065561490C182310444 @default.
• W2065561490 hasConceptScore W2065561490C185592680 @default.
• W2065561490 hasConceptScore W2065561490C191948623 @default.
• W2065561490 hasConceptScore W2065561490C202787564 @default.
• W2065561490 hasConceptScore W2065561490C2778113609 @default.
• W2065561490 hasConceptScore W2065561490C33676613 @default.
• W2065561490 hasConceptScore W2065561490C33923547 @default.
• W2065561490 hasConceptScore W2065561490C37914503 @default.
• W2065561490 hasConceptScore W2065561490C55493867 @default.
• W2065561490 hasConceptScore W2065561490C62520636 @default.
• W2065561490 hasConceptScore W2065561490C86339819 @default.
• W2065561490 hasLocation W20655614901 @default.
• W2065561490 hasOpenAccess W2065561490 @default.
• W2065561490 hasPrimaryLocation W20655614901 @default.
• W2065561490 hasRelatedWork W1562025235 @default.
• W2065561490 hasRelatedWork W1699287427 @default.
• W2065561490 hasRelatedWork W2013894561 @default.
• W2065561490 hasRelatedWork W2054149477 @default.
• W2065561490 hasRelatedWork W2083854833 @default.
• W2065561490 hasRelatedWork W2168974951 @default.
• W2065561490 hasRelatedWork W2214883990 @default.
• W2065561490 hasRelatedWork W2227951783 @default.
• W2065561490 hasRelatedWork W2240789367 @default.
• W2065561490 hasRelatedWork W2539163146 @default.
• W2065561490 hasRelatedWork W2949592586 @default.
• W2065561490 hasRelatedWork W2950979616 @default.
• W2065561490 hasRelatedWork W2951698008 @default.
• W2065561490 hasRelatedWork W2962837071 @default.
• W2065561490 hasRelatedWork W2963595768 @default.
• W2065561490 hasRelatedWork W3013379940 @default.

• next