Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
Tóm tắt
Từ khóa
Tài liệu tham khảo
Agmon S. A paper on existence theorems to appear.
Aronszajn N. On coercive integro‐differential quadratic forms Conf. on Partial Differential Equations Univ. of Kansas Report No. 14 1954 pp.94–106.
Browder F. E., 1956, Regularity properties at the boundary of solutions of elliptic boundary value problems, Bull. Amer. Math. Soc. Abstract No. 486, 62, 381
Graves L. M. The estimates of Schauder and their application to existence theorems for elliptic differential equations The University of Chicago Investigations in the Theory of Partial Differential equations Tech. Rep. No. 1 1956.
Greco D., 1956, Nuove formole integrali di maggiorazione per le soluzioni di un'equazione lineare di tipo ellittico ed applicazioni alla teoria del potenziale, Ricerche Mat., 5, 126
Hörmander L., 1956, Sur la completion par rapport a une integrate de Dirichlet, Math. Scand., 4, 259, 10.7146/math.scand.a-10474
John F., 1955, Plane Waves and Spherical Means Applied to Partial Differential Equations
Košelev A. I., 1956, On boundedness in Lp of derivatives of solutions of elliptic differential equations, Mat. Sbornik N. S., 38, 359
Košelev A. I., 1956, On the boundedness in Lp of the derivatives of solutions of elliptic equations and elliptic systems, Doklady Akad. Nauk SSSR, 110, 323
Košelev A. I., 1958, A priori Lp estimates, and generalized solutions of elliptic equations and systems, Uspeki Mat. Nauk, 13, 29
Lopatinskii Ya. B., 1953, On a method of reducing boundary problems for a system of differential equations of elliptic type to regular equations, Ukrain. Mat. Zurnal, 5, 123
Magenes E., 1958, I problemi al contorno per le equazioni differenziali di tipo ellittico, Ann. Scuola Norm. Super. Pisa, Ser. 3, 123, 247
Mihlin S. G., 1948, Singular integral equations, Uspehi Matem. Nauk N. S., 3, 29
Miranda C., 1948, Formule di maggiorazione e teorema di esistenza per le funzioni biarmoniche di due variabili, Giorn. Mat. Battaglini, 78, 97
Miranda C., 1955, Equazioni alle Derivate Parziali di Tipo Ellittico
Morrey C. B., 1954, Second order elliptic systems of differential equations, Contributions to the Theory of Partial Differential Equations, 101
Morrey C. B., 1958, Elliptic differential equations with Hölder continuous coefficients, Amer. Math. Soc. Notices, 5, 466
Nagumo M., 1954, On principally linear elliptic differential equations of the second order, Osaka Math. J., 6, 207
Schauder J., 1934, Numerische Abschätzungen in elliptischen linearen Differentialgleichungen, Studia Math., 5, 34, 10.4064/sm-5-1-34-42
Sobolev S. L., 1938, On a theorem of functional analysis, Mat. Sbornik N. S., 4, 471
Vishik M. I., 1951, On strongly elliptic systems of differential equations, Mat. Sbornik N. S., 29, 615
Zygmund A. Trigonometrical Series Z Subwencji Funduszu Kultury Narodowej Warszawa‐Lwow 1935.