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Volume 18, Issue 4
Blow-up of Solutions to Quasilinear Parabolic Equations

Fucai Li

J. Part. Diff. Eq., 18 (2005), pp. 327-340.

Published online: 2005-11

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  • Abstract

This paper investigates the qualitative properties of solutions to certain quasilinear parabolic equations. Under appropriate conditions, we obtain that the solution either exists globally or blows up in finite time by making use of the energy method and subsolution techniques. We find out that the behavior of solution heavily depends on the sign and the growth rate of the nonlinear reaction term and the nonlinear flux through boundary at infinity.

  • Keywords

Quasilinear parabolic equation global existence blow-up

  • AMS Subject Headings

35K55 35K60 35B05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-18-327, author = {}, title = {Blow-up of Solutions to Quasilinear Parabolic Equations}, journal = {Journal of Partial Differential Equations}, year = {2005}, volume = {18}, number = {4}, pages = {327--340}, abstract = {

This paper investigates the qualitative properties of solutions to certain quasilinear parabolic equations. Under appropriate conditions, we obtain that the solution either exists globally or blows up in finite time by making use of the energy method and subsolution techniques. We find out that the behavior of solution heavily depends on the sign and the growth rate of the nonlinear reaction term and the nonlinear flux through boundary at infinity.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5368.html} }
TY - JOUR T1 - Blow-up of Solutions to Quasilinear Parabolic Equations JO - Journal of Partial Differential Equations VL - 4 SP - 327 EP - 340 PY - 2005 DA - 2005/11 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5368.html KW - Quasilinear parabolic equation KW - global existence KW - blow-up AB -

This paper investigates the qualitative properties of solutions to certain quasilinear parabolic equations. Under appropriate conditions, we obtain that the solution either exists globally or blows up in finite time by making use of the energy method and subsolution techniques. We find out that the behavior of solution heavily depends on the sign and the growth rate of the nonlinear reaction term and the nonlinear flux through boundary at infinity.

Fucai Li . (2019). Blow-up of Solutions to Quasilinear Parabolic Equations. Journal of Partial Differential Equations. 18 (4). 327-340. doi:
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