On Continuation of Regular Solutions of Linear Partial Differential Equations

Abstract

Here we briefly introduce the speaker's recent works on continuation of regular solutions of linear partial differential equations with real analytic coefficients. The method of argument is deeply concerned with the non-characteristic boundary value problem for hyperfunction solutions. First we intuitively compare this new method with the old one which owes much to Grusin [2] and was employed in the case of constant coefficients. Then we give results on hyperfunction boundary value problem as our main tool. Finally we give the main results and prospects on continuation of real analytic solutions.