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Generalized solutions of the Hamilton-Jacobi equations of eikonal type. I: Formulation of the problems; existence, uniqueness and stability theorems; some properties of the solutions. (English) Zbl 0369.35012

MSC:
35F20 Nonlinear first-order PDEs
35D05 Existence of generalized solutions of PDE (MSC2000)
35F25 Initial value problems for nonlinear first-order PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B35 Stability in context of PDEs
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