Instantaneous Shrinking of Supports for Nonlinear Reaction-convection Equations

Instantaneous Shrinking of Supports for Nonlinear Reaction-convection Equations

Year:    1999

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 2 : pp. 179–192

Abstract

Support analysis is performed for solutions of nonlinear reaction-convection equations in which both singular flux and source term are included. The positivity versus instantaneous shrinking for the solutions is determined by the relative strength of the flux and the source, as well as the decay rate at infinity of initial value of solutions. As an application of the analysis, the case of power-type nonlinearities is checked in details.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JPDE-5533

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 2 : pp. 179–192

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Reaction-convection