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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 
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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},
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     number = {6},
     doi = {10.1007/s10492-008-0039-4},
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     zbl = {1199.35188},
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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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