Keywords
- Regularity Theorem
- Ferential Operator
- Interior Regularity
- Matrix Differential Operator
- Circular Neighborhood
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Bibliography of Lecture 5
F. E. BROWDER—The Dirichlet problem for linear elliptic equations of arbitrary even order with variable coefficients— Proc. Nat. Acad. Sci. U.S.A., vol. 38, 1952.
F. E. BROWDER—Assumption of boundary values and the Green's function in the Dirichlet problem for the general elliptic equation—Proc. Nat. Acad. Sci. USA, vol. 39, 1953.
R. CACCIOPPOLI—Sui teoremi di esistenza di Riemann—Ann. Scuola Norm. Sup. Pisa, 1939.
A. DOUGLIS—L. NIRENBERG—Interior estimates for elliptic systems of partial differential equations—Comm. Pure Appl. Mathem., vol. 8, 1955.
K. O. FRIEDRICHS—On the differentiability of the solutions of linear elliptic differential equations—Comm. Pure Appl. Mathem., vol. 6, 1953.
F. JOHN—The fundamental solution of linear elliptic differential equations with analytic coefficients—Comm. Pure Appl. Mathem., vol. 3, 1950.
F. JOHN—General properties of solutions of linear elliptic partial differential equations—Proc. Sump. Spectral Theory and Diff. Problems, Oklahoma College, 1951.
F. JOHN—Derivatives of continuous weak solutions of linear elliptic equations—Comm. Pure Appl. Math., vol. 6, 1953.
P. LAX—On Cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations— Comm. Pure Appl. Math., vol. 8, 1955.
L. NIRENBERG—see [4] of lecture 4. Remarks on Strongly Elliptic Partial Differential Equations—Comm. on pure and appl. math. vol. 8, New York, 1955.
H. WEYL—The method of orthogonal projection in potential theory— Duke Math. Journal, vol. 7, 1940. *** DIRECT SUPPORT *** A00J4007 00003
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Fichera, G. (1965). Elliptic linear systems. Interior regularity. In: Linear elliptic differential systems and eigenvalue problems. Lecture Notes in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079964
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DOI: https://doi.org/10.1007/BFb0079964
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