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Volume 20, Issue 2
Total Versus Single Point Blow-up Solutions for a Semilinear Parabolic Equation

Ming Yang

J. Part. Diff. Eq., 20 (2007), pp. 183-192.

Published online: 2007-05

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  • Abstract

In this paper, we investigate the blow-up set of solutions of a parabolic equation with localized and non-localized reactions. We completely classify blow-up solutions into total blow-up cases and single point blow-up cases.

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35K55 35K60.

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COPYRIGHT: © Global Science Press

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@Article{JPDE-20-183, author = {Ming Yang }, title = {Total Versus Single Point Blow-up Solutions for a Semilinear Parabolic Equation}, journal = {Journal of Partial Differential Equations}, year = {2007}, volume = {20}, number = {2}, pages = {183--192}, abstract = {

In this paper, we investigate the blow-up set of solutions of a parabolic equation with localized and non-localized reactions. We completely classify blow-up solutions into total blow-up cases and single point blow-up cases.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5301.html} }
TY - JOUR T1 - Total Versus Single Point Blow-up Solutions for a Semilinear Parabolic Equation AU - Ming Yang JO - Journal of Partial Differential Equations VL - 2 SP - 183 EP - 192 PY - 2007 DA - 2007/05 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5301.html KW - Single point blow-up KW - total blow-up KW - non-local problem AB -

In this paper, we investigate the blow-up set of solutions of a parabolic equation with localized and non-localized reactions. We completely classify blow-up solutions into total blow-up cases and single point blow-up cases.

Ming Yang . (2007). Total Versus Single Point Blow-up Solutions for a Semilinear Parabolic Equation. Journal of Partial Differential Equations. 20 (2). 183-192. doi:
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