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• W2301295536 abstract "In this paper, we provide two-sided estimates and uniform asymptotics for the solution of $d$-dimensional critical fractal Burgers equation $u_t-Delta^{alpha/2}u+bcdot nablaleft(u|u|^qright)=0$, $alphain(1,2)$, $binmathbb R^d$ for $q = (alpha-1)/d$ and $u_0 in L^1(mathbb R^d)$. We consider also $q > (alpha-1)/d$ under additional condition $u_0 in L^infty(mathbb R^d)$. In both cases we assume $u_0geq0$, which implies that the solution is non-negative. The estimates are given in the terms of the function $P_t u_0$, where $P_t$ is the stable semigroup operator." @default.
• W2301295536 created "2016-06-24" @default.
• W2301295536 creator A5003769198 @default.
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• W2301295536 date "2015-08-03" @default.
• W2301295536 modified "2023-10-10" @default.
• W2301295536 title "Pointwise estimates for solutions of fractal Burgers equation" @default.
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• W2301295536 hasPublicationYear "2015" @default.
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