Fundamental solutions for the tricomi operator

Duke Mathematical Journal

Volumn 98, Issue 3, 1999, Pages 465-483

  Barros Neto, J ^a   Gelfand, I M ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011057171     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-99-09814-9     Document Type: Article

References (17)

1. S. Agmon, “Boundary value problems for equations of mixed type” in Convegno Internazionale sulle Equazioni alle Derivate Parziali (Trieste, 1954), Edizioni Cremonese, Roma, 1955, 54-68.
2. Bateman Manuscript Project, Higher Transcendental Functions, Vols. 1-3, dir. A. Erdély, McGraw-Hill, New York, 1953-1955.
3. L. Bers, Mathematical Aspects of Subsonic and Transonic Gas Dynamics, Surveys Appl. Math. 3, Wiley, New York, 1958.
4. K. O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math. 11 (1958), 333-418.
5. yy = 0, Ark. für Mat. Astr. Och Fys. 26A (1937), 1-32.
6. P. Germain, Remarks on the theory of partial differential equations of mixed type and applications to the study of transonic flow, Comm. Pure Appl. Math. 7 (1954), 117-143.
7. P. Germain and R. Bader, Sur quelques problèmes relatifs à l'équation de type mixte de Tricomi, O. N. E. R. A. Publ. 1952 (1952), 1-57.
8. P. Germain and R. Bader, Solutions élémentaires de certaines équations aux dérivées partielles du type mixte, Bull. Soc. Math. France 81 (1953), 145-174.
9. L. D. Landau and E. M. Lifshitz, Fluid Mechanics; Course of Theoretical Physics, Vol. 4, Pergamon Press, London, 1959.
10. J. Leray, La solution unitaire d'un opérateur différentiel linéaire (problème de Cauchy, II), Bull. Soc. Math. France 86 (1958), 75-96.
11. J. Leray, Un prolongementa de la transformation de Laplace qui transforme la solution unitaires d'un opérateur hyperbolique en sa solution élémentaire (problème de Cauchy, IV), Bull. Soc. Math. France 90 (1962), 39-156.
12. C. S. Morawetz, A weak solution for a system of equations of elliptic-hyperbolic type, Comm. Pure Appl. Math. 11 (1958), 315-331.
13. S. Osher, Boundary value problems for equations of mixed type. I. The Lawrentiev-Bitsadze model, Comm. Partial Differential Equations 2 (1977), 499-547.
14. K. Payne, Boundary geometry and location of singularities for solutions to the Dirichlet problem for Tricomi type equations, Houston J. Math. 23 (1997), 709-731.
15. F. Tricomi, Sulle equazioni lineari alle derivate parziali di secondo ordine, di tipo misto, Rend. eale Accad. Lincei Cl. Sci. Fis. Mat. Natur. (5) 14 (1923), 134-247.
16. A. Weinstein, The singular solutions and the Cauchy problem for generalized Tricomi equations, Comm. Pure Appl. Math. 7 (1954), 105-116.
17. E.T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th ed., Cambridge University Press, New York, 1962.