Lions, Pierre-Louis Generalized solutions of Hamilton-Jacobi equations. (English) Zbl 0497.35001 Research Notes in Mathematics, 69. Boston - London - Melbourne: Pitman Advanced Publishing Program. 317 p. £12.50 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 473 Documents MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35F20 Nonlinear first-order PDEs 35D05 Existence of generalized solutions of PDE (MSC2000) 35B40 Asymptotic behavior of solutions to PDEs 70H20 Hamilton-Jacobi equations in mechanics 35B35 Stability in context of PDEs 35A35 Theoretical approximation in context of PDEs 35A20 Analyticity in context of PDEs Keywords:existence; uniqueness; Hamilton-Jacobi equations; Cauchy problem; Dirichlet problem; vanishing viscosity; accretivity; stability; regularizing effect; localization; propagation of singularities PDFBibTeX XML