Instantaneous Shrinking of Supports for Nonlinear Reaction-convection Equations

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Volume 12, Issue 2

Ning Su

J. Part. Diff. Eq., 12 (1999), pp. 179-192.

Published online: 1999-12

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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.

Keywords

Reaction-convection instantaneous shrinking propagation property

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@Article{JPDE-12-179, author = {Ning Su }, title = {Instantaneous Shrinking of Supports for Nonlinear Reaction-convection Equations}, journal = {Journal of Partial Differential Equations}, year = {1999}, volume = {12}, number = {2}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5533.html} }

TY - JOUR T1 - Instantaneous Shrinking of Supports for Nonlinear Reaction-convection Equations AU - Ning Su JO - Journal of Partial Differential Equations VL - 2 SP - 179 EP - 192 PY - 1999 DA - 1999/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5533.html KW - Reaction-convection KW - instantaneous shrinking KW - propagation property AB - 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.

Ning Su . (1999). Instantaneous Shrinking of Supports for Nonlinear Reaction-convection Equations. Journal of Partial Differential Equations. 12 (2). 179-192. doi:

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