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Turkish Journal of Mathematics

DOI

10.55730/1300-0098.3298

Abstract

A Cauchy problem for a modification of the Swift-Hohenberg equation in $R^{N}$ with a mildly integrable potential is considered. Applying the dissipative mechanism of fourth order parabolic equations in unbounded domains, it is shown that the equation generates a semigroup of global solutions possessing a global attractor in the scale of Bessel potential spaces and in $H^2(R^{N})$ in particular.

First Page

2728

Last Page

2750

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Mathematics Commons

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