Kayyunnapara Thomas Joseph
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 , 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
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