On representation formulas for Hamilton Jacobi's equations related to calculus of variations problems
KeywordsCalculus of variations, viability theory, discontinuous viscosity solutions, uniqueness for Hamilton Jacobi's equations
AbstractIn 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.
How to Cite
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 September 2002, T. 20, nr 1, s. 85–118. [accessed 2.2.2023].
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