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Can I read Nonconvergent Bounded Solutions of Semilinear Heat Equations on Arbitrary Domains on EtoBox?
Nonconvergent Bounded Solutions of Semilinear Heat Equations on Arbitrary Domains by P. Poláčik; F. Simondon is a Mathematics article available to read on EtoBox.
What is Nonconvergent Bounded Solutions of Semilinear Heat Equations on Arbitrary Domains about?
We consider the Dirichlet problem for the semilinear heat equation where O is an arbitrary bounded domain in R N ; NX2; with C 2 boundary. We find a C N -function gðx; uÞ such that (0.1) has a bounded solution whose o-limit set is a continuum of equilibria. This extends and improves an earlier result of the first author with Rybakowski, in which O is a disk in R 2 and g is of finite differentiability class. We also show that (0.1) can have an infinite-dimensional manifold of nonconvergent bounded trajectories.
Who reads Nonconvergent Bounded Solutions of Semilinear Heat Equations on Arbitrary Domains?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- P. Poláčik; F. Simondon
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-0396)
- Published
- 2002
- Language
- EN
- Field
- Mathematics (Physical Sciences)