Journal Article10.1016/S0362-546X(99)00178-9
Extinction behavior for fast diffusion equations with absorption
Raúl Ferreira,Juan Luis Vázquez +1 more
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About: This article is published in Nonlinear Analysis-theory Methods & Applications. The article was published on 01 Mar 2001. The article focuses on the topics: Extinction (optical mineralogy) & Diffusion (business).
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Citations
Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes
Peter Hintz,András Vasy +1 more
TL;DR: In this paper, the authors show the small data solvability of suitable semilinear wave and Klein-Gordon equations on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr-de Sitter spaces.
Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction
TL;DR: In this paper, a thorough study of the blow up profiles associated to the following second order reaction-diffusion equation with non-homogeneous reaction was performed, and it was shown that the nonhomogeneous coefficient | x | σ has a strong influence on the qualitative aspects related to the finite time blow up.
27
Extinction for a fast diffusion equation with a nonlinear nonlocal source
Yuzhu Han,Wenjie Gao +1 more
TL;DR: In this article, the authors established conditions for the extinction of solutions, in finite time, of the fast diffusion equation, and showed that if p > m, any solution with small initial data vanishes in finite-time.
26
•Posted Content
Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction
TL;DR: In this paper, a thorough study of the blow up profiles associated to the following second order reaction-diffusion equation with non-homogeneous reaction was performed, and it was shown that the nonhomogeneous coefficient has a strong influence on the qualitative aspects related to the finite time blow up.
19
Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth
TL;DR: In this article, the authors studied the blow up profiles associated to the following second order reaction-diffusion equation with non-homogeneous reaction and showed that the nonhomogeneous coefficient has a strong influence on the blow-up behavior of the solutions.
16
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Higher Transcendental Functions
TL;DR: Higher Transcendental Functions Based on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project as discussed by the authors, are presented in Table 1.
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Regularizing Effects of Homogeneous Evolution Equations
Michael G. Crandall,Philippe Bénilan +1 more
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TL;DR: In this article, the authors prove related estimates on nonlinear evolution equations which are governed by homogeneous nonlinearities and apply to classes of nonlinear diffusion equations and to conservation laws.