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A general space-time boundary value problem for the Hamilton-Jacobi equation. (English) Zbl 0215.28503

70H20 Hamilton-Jacobi equations in mechanics
Full Text: DOI
[1] Aizawa, S.; Kikuchi, N., A mixed initial and boundary-value problem for the Hamilton-Jacobi equation in several space variables, Funkual. ekv., 9, 139-150, (1966) · Zbl 0162.41102
[2] Conway, E.D.; Hopf, E., Hamilton’s theory and generalized solutions of the Hamilton-Jacobi equation, J. math. mech., 13, 939-986, (1964) · Zbl 0178.11002
[3] Fenchel, W., On conjugate convex functions, Canad. J. math., 1, 73-77, (1949) · Zbl 0038.20902
[4] Fleming, W.H., The Cauchy problem for a nonlinear first order partial differential equation, J. diff. eqs., 5, 515-530, (1969) · Zbl 0172.13901
[5] Hopf, E., Generalized solutions of nonlinear equations of first order, J. math. mech., 14, 951-972, (1965) · Zbl 0168.35101
[6] Rockafellar, R.T., Convex analysis, (1970), Princeton University Press Princeton, NJ · Zbl 0229.90020
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