Geodesic
Large time behavior of solutions to a class of doubly nonlinear parabolic equations
Applications of Mathematics, Tome 53 (2008) no. 6, pp. 521-533

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We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation $u_t=\mathop{{\rm div}} (u^{m-1}|Du|^{p-2}Du)-u^q$ with an initial condition $u(x,0)=u_0(x)$. Here the exponents $m$, $p$ and $q$ satisfy $m+p\geq 3$, $p>1$ and $q>m+p-2$.
We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation $u_t=\mathop{{\rm div}} (u^{m-1}|Du|^{p-2}Du)-u^q$ with an initial condition $u(x,0)=u_0(x)$. Here the exponents $m$, $p$ and $q$ satisfy $m+p\geq 3$, $p>1$ and $q>m+p-2$.
DOI : 10.1007/s10492-008-0039-4
Classification : 35B40, 35K15, 35K55, 35K65
Keywords: degenerate parabolic equation; large time asymptotic behavior 
Zhan, Huashui. Large time behavior of solutions to a class of doubly nonlinear parabolic equations. Applications of Mathematics, Tome 53 (2008) no. 6, pp. 521-533. doi: 10.1007/s10492-008-0039-4
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     title = {Large time behavior of solutions to a class of doubly nonlinear parabolic equations},
     journal = {Applications of Mathematics},
     pages = {521--533},
     year = {2008},
     volume = {53},
     number = {6},
     doi = {10.1007/s10492-008-0039-4},
     mrnumber = {2469063},
     zbl = {1199.35188},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-008-0039-4/}
}
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