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

防水

珍奇

Linear Partial Differential Operators978-3-662-30722-9Series ISSN 0072-7830 Series E-ISSN 2196-9701

Irritate

食品室

FIS

Interior regularity of solutions of differential equations be expanded in a convergent power series in . and .. The literature devoted to results of this kind is very extensive, so we shall only mention here a few papers which are particularly closely related to the results and methods of this chapter.

aphasia

Differential operators with simple characteristicsstant coefficients in the principal part. We shall prove in this chapter that the latter hypothesis can be replaced by a strengthened form of the necessary condition for existence of solutions given in Theorem 6.1.1 (see section 8.7). Weaker existence theorems for such operators have been given before by . [1], [10].

COMMA

头盔

玩忽职守

Bravado

Distribution theoryd 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 distributions on manifolds which will be needed in Chapter X. We have also inserted there a brief sketch of the classical integration theory for the characteristic equation.