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Zbl 1145.35332
Jin, Chunhua; Yin, Jingxue
Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with nonlinear boundary sources. (English)
[J] Nonlinear Anal., Theory Methods Appl. 67, No. 7, A, 2217-2223 (2007). ISSN 0362-546X

A quasilinear parabolic equation with a nonlinear boundary condition is studied. Critical exponents for global existence of positive solutions and a sufficient condition for non-extinction are given.
[Marek Fila (Bratislava)]
MSC 2000:
*35B33 Critical exponents
35K55 Nonlinear parabolic equations
35K60 (Nonlinear) BVP for (non)linear parabolic equations

Keywords: global existence; blow-up; non-extinction; quasilinear parabolic equation

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