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math.AP2014
Traveling Waves for Conservation Laws with Cubic Nonlinearity and BBM Type Dispersion
Michael Shearer, Kimberly R. Spayd, Ellen R. Swanson
Scalar conservation laws with non-convex fluxes have shock wave solutions that violate the Lax entropy condition. In this paper, such solutions are selected by showing that some of…
math.AP2009
A Bilinear Estimate for Biharmonic Functions in Lipschitz Domains
Joel Kilty, Zhongwei Shen
We show that a bilinear estimate for biharmonic functions in a Lipschitz domain is equivalent to the solvability of the Dirichlet problem for the biharmonic equationin . As a…
math.AP2009★ 2 cited
The Regularity Problem on Lipschitz Domains
Joel Kilty, Zhongwei Shen
This paper contains two results on the regularity problem on Lipschitz domains. For second order elliptic systems and , we prove that the solvability of the …