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Generalized variational solutions of the Cauchy problem for Hamilton- Jacobi equations. (English) Zbl 0461.35020

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
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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)
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