Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385075145> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W4385075145 endingPage "08" @default.
- W4385075145 startingPage "08" @default.
- W4385075145 abstract "In this article, we study the blow-up of solutions to the nonlinear parabolic equation in divergence form, $$displaylines{big(h(u)big)_t =sum_{i,j=1}^{n}big(a^{ij}(x)u_{x_i}big)_{x_j}-k(t)f(u)quadhbox{in } Omegatimes(0,t^{*}), cr sum_{i,j=1}^{n}a^{ij}(x)u_{x_i}nu_j=g(u) quadhbox{on } partialOmegatimes(0,t^{*}),cr u(x,0)=u_0(x)geq 0 quadhbox{in } overline{Omega},}$$ where (Omega) is a bounded convex domain in (mathbb{R}^n) ((ngeq2)) with smooth boundary (partialOmega). By constructing suitable auxiliary functions and using a differential inequality technique, when (Omegasubsetmathbb{R}^n) ((ngeq2)), we establish conditions for the solution blow up at a finite time, and conditions for the solution to exist for all time. Also, we find an upper bound for the blow-up time.In addition, when (Omegasubset mathbb{R}^n) with ((ngeq3)), we use a Sobolev inequality to obtain a lower bound for the blow-up time." @default.
- W4385075145 created "2023-07-23" @default.
- W4385075145 creator A5007387229 @default.
- W4385075145 creator A5014457949 @default.
- W4385075145 date "2022-01-25" @default.
- W4385075145 modified "2023-10-01" @default.
- W4385075145 title "Blow-up for parabolic equations in nonlinear divergence form with time-ependent coefficients" @default.
- W4385075145 cites W1513567496 @default.
- W4385075145 cites W1545761024 @default.
- W4385075145 cites W2000247006 @default.
- W4385075145 cites W2017437908 @default.
- W4385075145 cites W2022065256 @default.
- W4385075145 cites W2024179996 @default.
- W4385075145 cites W2049052787 @default.
- W4385075145 cites W2049309440 @default.
- W4385075145 cites W2049384007 @default.
- W4385075145 cites W2055363122 @default.
- W4385075145 cites W2060970095 @default.
- W4385075145 cites W2064356542 @default.
- W4385075145 cites W2122615763 @default.
- W4385075145 cites W2165580509 @default.
- W4385075145 cites W2171275408 @default.
- W4385075145 cites W2522965226 @default.
- W4385075145 cites W2770028302 @default.
- W4385075145 cites W2770916708 @default.
- W4385075145 cites W2782737739 @default.
- W4385075145 doi "https://doi.org/10.58997/ejde.2022.08" @default.
- W4385075145 hasPublicationYear "2022" @default.
- W4385075145 type Work @default.
- W4385075145 citedByCount "0" @default.
- W4385075145 crossrefType "journal-article" @default.
- W4385075145 hasAuthorship W4385075145A5007387229 @default.
- W4385075145 hasAuthorship W4385075145A5014457949 @default.
- W4385075145 hasBestOaLocation W43850751451 @default.
- W4385075145 hasConcept C112680207 @default.
- W4385075145 hasConcept C114614502 @default.
- W4385075145 hasConcept C121332964 @default.
- W4385075145 hasConcept C134306372 @default.
- W4385075145 hasConcept C186867907 @default.
- W4385075145 hasConcept C2524010 @default.
- W4385075145 hasConcept C2779557605 @default.
- W4385075145 hasConcept C2991999034 @default.
- W4385075145 hasConcept C33923547 @default.
- W4385075145 hasConcept C34388435 @default.
- W4385075145 hasConcept C36503486 @default.
- W4385075145 hasConcept C62354387 @default.
- W4385075145 hasConcept C62520636 @default.
- W4385075145 hasConcept C77553402 @default.
- W4385075145 hasConcept C93779851 @default.
- W4385075145 hasConcept C99730327 @default.
- W4385075145 hasConceptScore W4385075145C112680207 @default.
- W4385075145 hasConceptScore W4385075145C114614502 @default.
- W4385075145 hasConceptScore W4385075145C121332964 @default.
- W4385075145 hasConceptScore W4385075145C134306372 @default.
- W4385075145 hasConceptScore W4385075145C186867907 @default.
- W4385075145 hasConceptScore W4385075145C2524010 @default.
- W4385075145 hasConceptScore W4385075145C2779557605 @default.
- W4385075145 hasConceptScore W4385075145C2991999034 @default.
- W4385075145 hasConceptScore W4385075145C33923547 @default.
- W4385075145 hasConceptScore W4385075145C34388435 @default.
- W4385075145 hasConceptScore W4385075145C36503486 @default.
- W4385075145 hasConceptScore W4385075145C62354387 @default.
- W4385075145 hasConceptScore W4385075145C62520636 @default.
- W4385075145 hasConceptScore W4385075145C77553402 @default.
- W4385075145 hasConceptScore W4385075145C93779851 @default.
- W4385075145 hasConceptScore W4385075145C99730327 @default.
- W4385075145 hasIssue "01-87" @default.
- W4385075145 hasLocation W43850751451 @default.
- W4385075145 hasOpenAccess W4385075145 @default.
- W4385075145 hasPrimaryLocation W43850751451 @default.
- W4385075145 hasRelatedWork W1793337513 @default.
- W4385075145 hasRelatedWork W2069302992 @default.
- W4385075145 hasRelatedWork W2322892993 @default.
- W4385075145 hasRelatedWork W2556570445 @default.
- W4385075145 hasRelatedWork W2563901864 @default.
- W4385075145 hasRelatedWork W2796974491 @default.
- W4385075145 hasRelatedWork W2949995948 @default.
- W4385075145 hasRelatedWork W2953105112 @default.
- W4385075145 hasRelatedWork W4298018575 @default.
- W4385075145 hasRelatedWork W4309797352 @default.
- W4385075145 hasVolume "2022" @default.
- W4385075145 isParatext "false" @default.
- W4385075145 isRetracted "false" @default.
- W4385075145 workType "article" @default.