Generic hyperbolicity for reaction diffusion equations on symmetric domains

Pavol Brunovský; Peter Poláčik

doi:10.1007/BF00945403

Generic hyperbolicity for reaction diffusion equations on symmetric domains

Pavol Brunovský, Peter Poláčik

Mathematics

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7 Scopus citations

Abstract

The problem of generic hyperbolicity for reaction diffusion equations with Dirichlet boundary conditions on a ball in Rⁿ is studied. It is proved that while hyperbolicity is not a generic property, radially symmetric solutions are generically hyperbolic.

Original language	English (US)
Pages (from-to)	172-183
Number of pages	12
Journal	ZAMP Zeitschrift für angewandte Mathematik und Physik
Volume	38
Issue number	2
DOIs	https://doi.org/10.1007/BF00945403
State	Published - Mar 1 1987

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title = "Generic hyperbolicity for reaction diffusion equations on symmetric domains",

abstract = "The problem of generic hyperbolicity for reaction diffusion equations with Dirichlet boundary conditions on a ball in Rn is studied. It is proved that while hyperbolicity is not a generic property, radially symmetric solutions are generically hyperbolic.",

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Generic hyperbolicity for reaction diffusion equations on symmetric domains

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