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Elliptic linear systems. Interior regularity

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Part of the Lecture Notes in Mathematics book series (LNM,volume 8)

Keywords

  • Regularity Theorem
  • Ferential Operator
  • Interior Regularity
  • Matrix Differential Operator
  • Circular Neighborhood

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Bibliography of Lecture 5

  1. 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.

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  2. 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.

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  3. R. CACCIOPPOLI—Sui teoremi di esistenza di Riemann—Ann. Scuola Norm. Sup. Pisa, 1939.

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  4. A. DOUGLIS—L. NIRENBERG—Interior estimates for elliptic systems of partial differential equations—Comm. Pure Appl. Mathem., vol. 8, 1955.

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  5. K. O. FRIEDRICHS—On the differentiability of the solutions of linear elliptic differential equations—Comm. Pure Appl. Mathem., vol. 6, 1953.

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  6. F. JOHN—The fundamental solution of linear elliptic differential equations with analytic coefficients—Comm. Pure Appl. Mathem., vol. 3, 1950.

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  7. F. JOHN—General properties of solutions of linear elliptic partial differential equations—Proc. Sump. Spectral Theory and Diff. Problems, Oklahoma College, 1951.

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  8. F. JOHN—Derivatives of continuous weak solutions of linear elliptic equations—Comm. Pure Appl. Math., vol. 6, 1953.

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  9. P. LAX—On Cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations— Comm. Pure Appl. Math., vol. 8, 1955.

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  10. 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.

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  11. H. WEYL—The method of orthogonal projection in potential theory— Duke Math. Journal, vol. 7, 1940. *** DIRECT SUPPORT *** A00J4007 00003

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© 1965 Springer-Verlag Berlin · Heidelberg

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-03351-6

  • Online ISBN: 978-3-540-37134-2

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