Constructions with Analytic Semigroups and Abstract Exponential Decay Results for Eigenfunctions
Sigurd Angenent · Birkhäuser Basel eBooks · 1999
In this note we present some constructions with generators of analytic semigroups which are an abstract version of the familiar method of “freezing the coefficients” to prove elliptic estimates for differential operators with continuous coefficients or Hölder-continuous coefficients. As a side result we obtain an abstract exponential decay result for, say, eigenfunctions corresponding to isolated eigenvalues. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.