Literature Cited
A. V. Bitsadze, Boundary Value Problems for Second Order Elliptic Equations, Interscience, New York (1968).
S. Agmon, L. Nirenberg, and M. Protter, “A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic-hyperbolic type,” Comm. Pure and Appl. Math.,6, No. 4, 455–470 (1963).
M. M. Smirnov, Degenerating Elliptic and Hyperbolic Equations [in Russian], Nauka, Moscow (1966).
E. Holmgren, “Sur un probleme aux limits pour l'equations ymZxx+Zyy=0,” Arkiv Mat., Astr. och Fisik,25A, 1–3.
S. Gellerstedt, “Sur un probleme aux limites pour une equation lineaire aux derivées partielles du second ordre de type mixte,” Thesis, Uppsala (1935).
H. Bateman and A. Erdelyi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York (1954).
A. M. Nakhushev, “On some problems for equations of mixed type with two degenerate curves,” Sibirsk. Matem. Zh.,8, No. 1, 19–48 (1967).
Kh. G. Bzhikhatlov, “Boundary problems for equations of mixed parabolic-hyperbolic type and integral equations of the third kind associated with them,” Abstract of Doctoral Diss. (1970).
S. L. Sobolev, Equations of Mathematical Physics, Pergamon, Oxford (1964).
S. G. Mikhlin, Linear Integral Equations, Hindustan Publ. Corp., Delhi (1960).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 2, pp. 286–292, March–April, 1972.
Rights and permissions
About this article
Cite this article
Evsin, V.I. On the problem of holmgren for degenerate elliptic equations of the first kind. Sib Math J 13, 197–201 (1972). https://doi.org/10.1007/BF00971608
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00971608