Leaci, Antonio; Caffarelli, Giorgio Vergara Generalized variational solutions of the Cauchy problem for Hamilton- Jacobi equations. (English) Zbl 0461.35020 Commun. Partial Differ. Equations 6, 289-304 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 35D05 Existence of generalized solutions of PDE (MSC2000) 49L99 Hamilton-Jacobi theories 35A15 Variational methods applied to PDEs 35D10 Regularity of generalized solutions of PDE (MSC2000) 35F20 Nonlinear first-order PDEs Keywords:Hamilton-Jacobi equation; variational solution; Cauchy problem; Lagrangian PDFBibTeX XMLCite \textit{A. Leaci} and \textit{G. V. Caffarelli}, Commun. Partial Differ. Equations 6, 289--304 (1981; Zbl 0461.35020) Full Text: DOI References: [1] Benton S.H., A Global approach (1977) · Zbl 0418.49001 [2] Conway E.D., J.Math.Mech 13 pp 939– (1964) [3] Douglis A., Ann.Inst.Fourier Grenoble 15 pp 1– (1965) · Zbl 0137.29001 · doi:10.5802/aif.208 [4] Fleming W.H., J.Diff.Eq 5 pp 515– (1969) · Zbl 0172.13901 · doi:10.1016/0022-0396(69)90091-6 [5] Hopf E., J.Math.Mech 14 pp 951– (1965) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.