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Differentiability and growth of solutions of partial differential equations. (English) Zbl 0534.35023

From the author’s abstract: ”Regularity problems are studied for a partial differential operator P(D) with constant coefficients using a new variant of the parametrix-method. A new characterization of the index of hypoellipticity r and a pointwise uniqueness theorem for the Cauchy- problem is given. For semielliptic P(D) the functional dimension of \(C^{\infty}\!_{\Phi}(R^ n)\) is proved to be \(| r|.''\)
Reviewer: A.Hastings

MSC:

35H10 Hypoelliptic equations
35B65 Smoothness and regularity of solutions to PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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References:

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