Hamilton-Jacobi equations having only action functions as solutions

Archiv der Mathematik

Volumn 83, Issue 5, 2004, Pages 437-449

  Strömberg, Thomas ^a  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11944268674     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-004-1163-3     Document Type: Article

References (8)

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3. M. G. CRANDALL, H. ISHII and P.-L. LIONS, User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27, 1-67 (1992).
4. M. G. CRANDALL and P.-L. LIONS, Viscosity solutions of Hamilton-Jacobi equations. Trans. Amer. Math. Soc. 277, 1-42 (1983).
5. G. DAL MASO and H. FRANKOWSKA, Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, DuBois-Reymond necessary conditions, and Hamilton-Jacobi equations. Appl. Math. Optim. 48, 39-66 (2003).
6. P.-L. LIONS, Generalized solutions of Hamilton-Jacobi equations. Res. Notes Math. 69, Boston-London 1982.
7. T. STRÖMBERG, On viscosity solutions of the Hamilton-Jacobi equation. Hokkaido Math. J. 28, 475-506 (1999).
8. T. STRÖMBERG, The Hopf-Lax formula gives the unique viscosity solution. Differential Integral Equations 15, 47-52 (2002).