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Stability of anisotropic parabolic equations without boundary conditions

In this article, we consider the equation $$ u_t= \sum_{i=1}^N \big(a_i(x)|u_{x_i}|^{p_i(x)-2}u_{x_i}\big)_{x_i}, $$ with $a_i(x), p_i(x)\in C^1(\overline{\Omega})$ and $p_i(x)>1$. Where $a_i(x)=0$ if $x\in\partial \Omega$, and $a_i(x)>0$ if $x\in \Omega$, without any boundary conditions. We p...

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Príomhchruthaitheoirí: Huashui Zhan, Zhaosheng Feng
Formáid: Artigo
Teanga:Inglês
Foilsithe / Cruthaithe: Texas State University 2020-07-01
Sraith:Electronic Journal of Differential Equations
Ábhair:
Rochtain ar líne:http://ejde.math.txstate.edu/Volumes/2020/74/abstr.html
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