Differentiability and growth of solutions of partial differential equations
Tóm tắt
Regularity problems are studied for a PDO 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 uniquness theorem for the Cauchy-problem is given. For semielliptic P(D) the functional dimension of C
p
∞
(R
n
) is proved to be ¦r¦. The equation P(D)g=f Is solved with distributions with part. bounded support.
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