Huasui Zhan, "The Nonexistence of the Solution for Quasilinear Parabolic Equation Related to the P-Laplacian," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Huasui Zhan. The Nonexistence of the Solution for Quasilinear Parabolic Equation Related to the P-Laplacian.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
The Nonexistence of the Solution for Quasilinear Parabolic Equation Related to the P-Laplacian
Author:
Abstract: Consider the following Cauchy problem <br>$$ ut = div (| ∇u^{m}|^{p−2} ∇u^{m})− u^{q} ,(x, t) \in S_{T} = R^{N} × (0, T), $$<br> $$u(x, 0) = δ(x), x \in R^{N} $$,<br> where $$ 1 < p < 2$$, and $$δ(x)$$ is the Dirac measure centered at the origin. If $$m(p − 1) + \frac{p}{N} ≤ 1$$ and $$q > 0$$, it can be proved that there is not solution for the above narrated problem.
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
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