scientific article; zbMATH DE number 1345474
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Publication:4266267
zbMath0936.35003MaRDI QIDQ4266267
Mikio Tsuji, Tran Duc Van, Nguyen Duy Thai Son
Publication date: 29 September 1999
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
viscosity solutiongeneralized solutionclassical solutionminimax solutionHopf formulasemi-classical solutioncollision of singularitiesHaar-type differential inequalities
Nonlinear first-order PDEs (35F20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for nonlinear first-order PDEs (35F25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
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Hopf-type formula defines viscosity solution for Hamilton-Jacobi equations with \(t\)-dependence Hamiltonian ⋮ Regularity properties of viscosity solution of nonconvex Hamilton–Jacobi equations ⋮ Global structure and regularity of solutions to the Eikonal equation ⋮ Solution of the Cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables ⋮ The regularity of generalized solutions of Hamilton--Jacobi equations ⋮ Layered viscosity solutions of nonautonomous Hamilton-Jacobi equations: semiconvexity and relations to characteristics ⋮ Generalized Euler method for Hamilton Jacobi differential functional systems ⋮ Numerical method of lines for first order partial differential-functional equations
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