Kayyunnapara Thomas Joseph
Abstract:
In this paper we construct explicit weak solutions of a system of
two partial differential equations in the quarter plane
with initial conditions at
and a
weak form of Dirichlet boundary conditions at
.
This system
was first studied by LeFloch [9], where he constructed explicit
formula for the weak solution of pure initial value problem.
Submitted November 1, 2008. Published November 20, 2008.
Math Subject Classifications: 35A20, 35L50, 35R05.
Key Words: First order equations; boundary conditions; exact solutions
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Kayyunnapara Thomas Joseph School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400005, India email: ktj@math.tifr.res.in |
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