On representation formulas for Hamilton Jacobi's equations related to calculus of variations problems
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Calculus of variations, viability theory, discontinuous viscosity solutions, uniqueness for Hamilton Jacobi's equationsAbstrakt
In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi equations are proved. This task is accomplished by showing that the value function for a certain problem of the calculus of variations is the unique solution of the PDE. This can be viewed as a representation formula of the solution.Pobrania
Opublikowane
2002-09-01
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1.
PLASKACZ, Sławomir & QUINCAMPOIX, Marc. On representation formulas for Hamilton Jacobi’s equations related to calculus of variations problems. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2002, T. 20, nr 1, s. 85–118. [udostępniono 22.7.2024].
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