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Remarks on strongly elliptic partial differential equations

Data up to Jan 2025

Published1955
Citations392
References21

Total Citations Per Year

Abstract

References (21)

On the existence of certain singular integrals

1952 • 1,026 citations

Methoden der Mathematischen Physik

1937 • 623 citations

Interior estimates for elliptic systems of partial differential equations

1955 • 398 citations

The identity of weak and strong extensions of differential operators

1944 • 320 citations

The method of orthogonal projection in potential theory

1940 • 318 citations

Dirichlet's problem for linear elliptic partial differential equations

1953 • 213 citations

On cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations

1955 • 148 citations

The Identity of Weak and Strong Extensions of Differential Operators

1944 • 113 citations

On the differentiability of the solutions of linear elliptic differential equations

1953 • 108 citations

II. Strongly Elliptic Systems of Differential Equations

1955 • 100 citations

IX. Parabolic Equations

1955 • 70 citations

On Differential Operators in Hilbert Spaces

1939 • 67 citations

The fundamental solution of linear elliptic differential equations with analytic coefficients

1950 • 63 citations

The Dirichlet Problem for Linear Elliptic Equations of Arbitrary Even Order with Variable Coefficients

1952 • 39 citations

On a type of eigenvalue problems for certain elliptic differential operators

1954 • 34 citations

VII. Second Order Elliptic Systems of Differential Equations

1955 • 34 citations

Derivatives of continuous weak solutions of linear elliptic equations

1953 • 18 citations

Assumption of Boundary Values and the Green's Function in the Dirichlet Problem for the General Linear Elliptic Equation

1953 • 16 citations

Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations

1953 • 16 citations

Integral inequalities connected with differential operators

1938 • 16 citations

The Dirichlet and Vibration Problems for Linear Elliptic Differential Equations of Arbitrary Order

1952 • 13 citations

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