Wolfgang Tutschke

Interior Estimates in The Theory of Partial Differential Equations and Their Application to Initial Value Problems

The present paper is aimed at solving initial value problems by the contraction-mapping principle in case an interior estimate is true in the function space under consideration.

Mathematics Subject Classification: 35A10, 35F10, 30G20, 35J30.

Key words and phrases: Initial value problems of Cauchy--Kovalevskaya type, conical evolution, interior estimates of solutions of elliptic equations.