Remarks on global solutions to the initial-boundary value problem for quasilinear degenerate parabolic equations with a nonlinear source term

• Autorzy: Nakao Mitsuhiro

Identyfikatory

DOI

10.7494/OpMath.2019.39.3.395

• Języki publikacji: EN

Abstrakty

EN

We give an existence theorem of global solution to the initial-boundary value problem for [formula] under some smallness conditions on the initial data, where [formula] is a positive function of [formula] admitting the degeneracy property δ (0) = 0. We are interested in the case where [formula] has no exponent m ≥ 0 such that [formula]. A typical example is [formula]. ƒ (u) is a function like [formula] A decay estimate for [formula] is also given.

Słowa kluczowe

EN

degenerate quasilinear parabolic equation; nonlinear source term; Moser's method

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 3
• Strony: 395--414
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Nakao Mitsuhiro

• Kyushu University Faculty of Mathematics Moto-oka 744, Fukuoka 819-0395, Japan

Bibliografia

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