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On the Representation of Solutions of the Heat Equation and Weakly Coupled Parabolic Systems

✍ Scribed by Watson, N. A.


Book ID
120095672
Publisher
Oxford University Press
Year
1986
Tongue
English
Weight
325 KB
Volume
s2-34
Category
Article
ISSN
0024-6107

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We investigate weakly coupled semilinear parabolic systems in unbounded domains of R 2 or R 3 with general nonlinearities. We present several sufficient conditions on the nonlinearities which ensure the stability of the zero solution with respect to H 2 -perturbations. In addition, various examples