Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949699478> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2949699478 abstract "Consider the anisotropic porous medium equation, $u_t=sumlimits_{i=1}^n(u^{m_i})_{x_ix_i},$ where $m_i>0, (i=1,2,...,n)$ satisfying $minlimits_{1le ile n}{m_i}le 1,$ $sumlimits_{i=1}^nm_i>n-2,$ and $maxlimits_{1le ile n}{m_i}le frac{1}{n}(2+sumlimits_{i=1}^nm_i).$ Assuming that the initial data belong only to $L^1(Re^n)$, we establish the existence and uniqueness of the solution for the Cauchy problem in the space, $C([0,infty), L^1(Re^n))cap C(Re^ntimes(0,infty))cap L^infty(Re^ntimes[epsilon,infty)),$ where $epsilon>0$ may be arbitrary. We also show a comparison principle for such solutions. Furthermore, we prove that the solution converges to zero in the space $L^infty(Re^n)$ as the time goes to infinity." @default.
- W2949699478 created "2019-06-27" @default.
- W2949699478 creator A5021661768 @default.
- W2949699478 creator A5066803244 @default.
- W2949699478 date "2006-11-29" @default.
- W2949699478 modified "2023-09-27" @default.
- W2949699478 title "Solution of the anisotropic porous medium equation in $R^n$ under an $L^1$-initial value" @default.
- W2949699478 cites W1882882564 @default.
- W2949699478 cites W2081136908 @default.
- W2949699478 cites W644710670 @default.
- W2949699478 hasPublicationYear "2006" @default.
- W2949699478 type Work @default.
- W2949699478 sameAs 2949699478 @default.
- W2949699478 citedByCount "0" @default.
- W2949699478 crossrefType "posted-content" @default.
- W2949699478 hasAuthorship W2949699478A5021661768 @default.
- W2949699478 hasAuthorship W2949699478A5066803244 @default.
- W2949699478 hasConcept C114614502 @default.
- W2949699478 hasConcept C121332964 @default.
- W2949699478 hasConcept C134306372 @default.
- W2949699478 hasConcept C138885662 @default.
- W2949699478 hasConcept C151201525 @default.
- W2949699478 hasConcept C26955809 @default.
- W2949699478 hasConcept C2777021972 @default.
- W2949699478 hasConcept C2778572836 @default.
- W2949699478 hasConcept C2780813799 @default.
- W2949699478 hasConcept C33923547 @default.
- W2949699478 hasConcept C37914503 @default.
- W2949699478 hasConcept C41895202 @default.
- W2949699478 hasConcept C62520636 @default.
- W2949699478 hasConcept C85725439 @default.
- W2949699478 hasConceptScore W2949699478C114614502 @default.
- W2949699478 hasConceptScore W2949699478C121332964 @default.
- W2949699478 hasConceptScore W2949699478C134306372 @default.
- W2949699478 hasConceptScore W2949699478C138885662 @default.
- W2949699478 hasConceptScore W2949699478C151201525 @default.
- W2949699478 hasConceptScore W2949699478C26955809 @default.
- W2949699478 hasConceptScore W2949699478C2777021972 @default.
- W2949699478 hasConceptScore W2949699478C2778572836 @default.
- W2949699478 hasConceptScore W2949699478C2780813799 @default.
- W2949699478 hasConceptScore W2949699478C33923547 @default.
- W2949699478 hasConceptScore W2949699478C37914503 @default.
- W2949699478 hasConceptScore W2949699478C41895202 @default.
- W2949699478 hasConceptScore W2949699478C62520636 @default.
- W2949699478 hasConceptScore W2949699478C85725439 @default.
- W2949699478 hasLocation W29496994781 @default.
- W2949699478 hasOpenAccess W2949699478 @default.
- W2949699478 hasPrimaryLocation W29496994781 @default.
- W2949699478 hasRelatedWork W2050710152 @default.
- W2949699478 hasRelatedWork W2083546078 @default.
- W2949699478 hasRelatedWork W2140005666 @default.
- W2949699478 hasRelatedWork W2200044388 @default.
- W2949699478 hasRelatedWork W2285697168 @default.
- W2949699478 hasRelatedWork W2473916505 @default.
- W2949699478 hasRelatedWork W2604371823 @default.
- W2949699478 hasRelatedWork W2605667766 @default.
- W2949699478 hasRelatedWork W2778769353 @default.
- W2949699478 hasRelatedWork W2784877851 @default.
- W2949699478 hasRelatedWork W2793651164 @default.
- W2949699478 hasRelatedWork W2806415612 @default.
- W2949699478 hasRelatedWork W2952936340 @default.
- W2949699478 hasRelatedWork W2967662487 @default.
- W2949699478 hasRelatedWork W2996855908 @default.
- W2949699478 hasRelatedWork W3053702108 @default.
- W2949699478 hasRelatedWork W3103575668 @default.
- W2949699478 hasRelatedWork W3105186844 @default.
- W2949699478 hasRelatedWork W3159703340 @default.
- W2949699478 hasRelatedWork W3159755064 @default.
- W2949699478 isParatext "false" @default.
- W2949699478 isRetracted "false" @default.
- W2949699478 magId "2949699478" @default.
- W2949699478 workType "article" @default.