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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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