The Meyer’s estimate of solutions to Zaremba problem for second-order elliptic equations in divergent form

Author:

Alkhutov Yurij A.,Chechkin Gregory A.

Publisher

Cellule MathDoc/CEDRAM

Subject

Mechanics of Materials,General Materials Science

Reference10 articles.

1. [1] Zaremba, S. On a mixed problem for Laplace’s equation, Uspehi Matem. Nauk (N.S.), Volume 1 (1946) no. 3–4(13–14), pp. 125-146 (Russian). MR0025032

2. [2] Fichera, G. Sul problema misto per le equazioni lineari alle derivate parziali del secondo ordine di tipo ellittico, Rev. Roumaine Math. Pures Appl., Volume 9 (1964), pp. 3-9 (Italian)

3. [3] Bojarskii, B. V. Generalized solutions of a system of differential equations of first order and of elliptic type with discontinuous coefficients, Mat. Sb. N.S., Volume 43 (1957) no. 85, pp. 451-503 (Russian). MR0106324

4. [4] Meyers, N. G. An L p -estimate for the gradient of solutions of second order elliptic deivergence equations, Ann. Scuola Norm.-Sci., Volume 17 (1963) no. 3, pp. 189-206 (3-e série)

5. [5] Lax, P. D.; Milgram, A. Parabolic equations, Contributions to the Theory of Partial Differential Equations (Ann. Math. Studies), Volume 33, Princeton University Press, Princeton, 1954, pp. 167-190

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