article

A general approach to critical Fujita exponents in nonlinear parabolic problems

Authors:

Victor A. Galaktionov,

Howard A. LevineAuthors Info & Claims

Nonlinear Analysis: Theory, Methods & Applications, Volume 34, Issue 7

Pages 1005 - 1027

https://doi.org/10.1016/S0362-546X(97)00716-5

Published: 07 December 1998 Publication History

Abstract

No abstract available.

Cited By

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Alves CBoudjeriou T(2021)Existence of solution for a class of heat equation involving the p(x) Laplacian with triple regimeZeitschrift für Angewandte Mathematik und Physik (ZAMP)10.1007/s00033-020-01430-572:1Online publication date: 1-Feb-2021
https://dl.acm.org/doi/10.1007/s00033-020-01430-5
Zheng YFang Z(2019)New critical exponents, large time behavior, and life span for a fast diffusive p-Laplacian equation with nonlocal sourceZeitschrift für Angewandte Mathematik und Physik (ZAMP)10.1007/s00033-019-1191-270:5(1-17)Online publication date: 1-Oct-2019
https://dl.acm.org/doi/10.1007/s00033-019-1191-2
Mi YMu CZeng R(2011)Secondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial valuesZeitschrift für Angewandte Mathematik und Physik (ZAMP)10.1007/s00033-011-0130-762:6(961-978)Online publication date: 1-Dec-2011
https://dl.acm.org/doi/10.1007/s00033-011-0130-7
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Index Terms

A general approach to critical Fujita exponents in nonlinear parabolic problems
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
      2. Partial differential equations
    2. Nonlinear equations

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Information

Published In

cover image Nonlinear Analysis: Theory, Methods & Applications

Nonlinear Analysis: Theory, Methods & Applications Volume 34, Issue 7

Dec. 1998

172 pages

ISSN:0362-546X

Editor:
V. Lakshmikantham
Florida Institute of Technology, Melbourne

Issue’s Table of Contents

Publisher

Elsevier Science Ltd.

United Kingdom

Publication History

Published: 07 December 1998

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Alves CBoudjeriou T(2021)Existence of solution for a class of heat equation involving the p(x) Laplacian with triple regimeZeitschrift für Angewandte Mathematik und Physik (ZAMP)10.1007/s00033-020-01430-572:1Online publication date: 1-Feb-2021
https://dl.acm.org/doi/10.1007/s00033-020-01430-5
Zheng YFang Z(2019)New critical exponents, large time behavior, and life span for a fast diffusive p-Laplacian equation with nonlocal sourceZeitschrift für Angewandte Mathematik und Physik (ZAMP)10.1007/s00033-019-1191-270:5(1-17)Online publication date: 1-Oct-2019
https://dl.acm.org/doi/10.1007/s00033-019-1191-2
Mi YMu CZeng R(2011)Secondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial valuesZeitschrift für Angewandte Mathematik und Physik (ZAMP)10.1007/s00033-011-0130-762:6(961-978)Online publication date: 1-Dec-2011
https://dl.acm.org/doi/10.1007/s00033-011-0130-7
Du L(2007)Blow-up for a degenerate reaction-diffusion system with nonlinear nonlocal sourcesJournal of Computational and Applied Mathematics10.1016/j.cam.2006.02.028202:2(237-247)Online publication date: 1-May-2007
https://dl.acm.org/doi/10.1016/j.cam.2006.02.028

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Blow-up and critical exponents for nonlinear hyperbolic equations

Blowing up behavior for a class of nonlinear VIEs connected with parabolic PDEs

Monotone method for diffusion equations with nonlinear diffusion coefficients

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