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Existence and approximation of solutions of differential equations

  • Lars Hörmander
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 116)

Abstract

In the theory of differential operators with constant coefficients developed in this chapter and the next, the existence of a fundamental solution proved in section 3.1 has a central place. This result was first obtained in full generality by Ehrenpreis [1] and by Malgrange [1]. Our proof follows that of Malgrange [1] with the modifications introduced by Hörmander [2] in order to obtain the best possible local regularity properties. This improvement is necessary for the passage to operators with variable coefficients in Chapter VII and for the study of interior regularity properties in Chapter IV.

Keywords

Differential Operator Convex Hull Compact Subset Fundamental Solution Half Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1969

Authors and Affiliations

  • Lars Hörmander
    • 1
  1. 1.University of LundSweden

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