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LARGE-TIME STABILITY OF TRAVELLING WAVES FOR A CLASS OF FULLY NONLINEAR PARABOLIC EQUATIONS

FABIO CAMILLI and MANUELA MOLINARI
Quarterly of Applied Mathematics
Vol. 60, No. 3 (September 2002), pp. 533-546
Published by: Brown University
Stable URL: http://www.jstor.org/stable/43638468
Page Count: 14
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
LARGE-TIME STABILITY OF TRAVELLING WAVES FOR A CLASS OF FULLY NONLINEAR PARABOLIC EQUATIONS
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Abstract

In this paper we prove existence and L¹ stability of travelling waves for a class of second-order nonlinear parabolic equations in divergence form. As a consequence of the previous result, we get stability in the L∞ norm of travelling waves for a class of fully nonlinear second-order equations.

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