Titlebook: Linear Partial Differential Operators; Lars Hörmander Book 1969Latest edition Springer-Verlag Berlin Heidelberg 1969 analysis.differential

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Distribution theoryllowing chapters. The reader may thus consult . [1] for a more detailed study of almost all topics discussed here. An exception is Definition 1.3.3 and the related Theorem 1.7.8, which are based on an idea of . [2] (see also . [3] and . [14]). In section 1.8 we have added a definition of distributio

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Existence and approximation of solutions of differential equationsved in section 3.1 has a central place. This result was first obtained in full generality by . [1] and by . [1]. Our proof follows that of . [1] with the modifications introduced by . [2] in order to obtain the best possible local regularity properties. This improvement is necessary for the passage

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The Cauchy problem (variable coefficients)nt. It is possible to modify the proof of Theorem 5.4.1 by using some of the techniques in the proof of Theorem 6.1.1 in order to show that the Cauchy problem for the operator . cannot be solved for arbitrary data unless the principal part of . is hyperbolic in the initial surface (at least if there

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