arXiv:math/0611425 Abstract

arXiv:math/0611425 [math.AP]Abstract References Reviews Resources

Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations

Published 2006-11-14Version 1

This paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed the depth to be nondegenerate. Elliptic estimates for degenerate equations has to be established studying the behavior of the associated Green function.

Journal: Nonlinearity 19 (2006) 591-610

DOI: 10.1088/0951-7715/19/3/004

Categories: math.AP

Subjects: 35Q30, 35B40, 76D05

Keywords: lake equations, global existence, elliptic estimates, degenerate equations, vanishing topography

Tags: journal article

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