Open Access
June 2003 Absence of local and global solutions to weakly coupled systems of parabolic inequalities
M. Guedda
Bull. Belg. Math. Soc. Simon Stevin 10(2): 209-220 (June 2003). DOI: 10.36045/bbms/1054818024

Abstract

The paper deals with the local and global nonexistence of weak solutions to a class of weakly coupled systems of parabolic inequalities with a fractional power of the Laplacian. Our results include nonexistence results as well as necessary conditions for the local and global solvability.

Citation

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M. Guedda. "Absence of local and global solutions to weakly coupled systems of parabolic inequalities." Bull. Belg. Math. Soc. Simon Stevin 10 (2) 209 - 220, June 2003. https://doi.org/10.36045/bbms/1054818024

Information

Published: June 2003
First available in Project Euclid: 5 June 2003

zbMATH: 1039.35143
MathSciNet: MR2015199
Digital Object Identifier: 10.36045/bbms/1054818024

Subjects:
Primary: 35K57

Keywords: blow up , Fractional power of the Laplacian , local nonexistence , nonlinear reaction-diffusion systems

Rights: Copyright © 2003 The Belgian Mathematical Society

Vol.10 • No. 2 • June 2003
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