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

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

2006-11-14

arxiv.org/abs/math/0611425v1

Nonlinearity 19 (2006) 591-610

Mathematics

Analysis of PDEs

Scientific paper

10.1088/0951-7715/19/3/004

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.

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