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The evolution operator solution of the Cauchy problem for the Hamilton-Jacobi equation

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Abstract

The theory of nonlinear evolution equations in a Banach space is used to prove the existence of global weak solutions of the Cauchy problem for the general time and space-dependent Hamilton-Jacobi equation.

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Authors and Affiliations

  1. Department of Mathematics, Georgia Institute of Technology, 30332, Atlanta, Georgia, USA

    Michael B. Tamburro

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  1. Michael B. Tamburro
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Tamburro, M.B. The evolution operator solution of the Cauchy problem for the Hamilton-Jacobi equation. Israel J. Math. 26, 232–264 (1977). https://doi.org/10.1007/BF03007645

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  • DOI: https://doi.org/10.1007/BF03007645

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