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On invariant regions and asymptotic bounds for semilinear partial differential equations

✍ Scribed by Marta València


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
1014 KB
Volume
14
Category
Article
ISSN
0362-546X

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Global existence and asymptotic behavior of solutions for degenerate parabolic equations including \(u_{t}=\lambda \operatorname{div}\left(|\nabla u|^{p-2} \nabla u\right)+|u|^{q-2} u\left(1-|u|^{\gamma}\right)\) are studied, where \(\lambda\) is a positive parameter; \(p>2, q \geq 2\) and \(r>0\) a