29 citations · 164 across the 17 of their papers we have counts for
19 papers
Resolvent trace asymptotics for operators in the Shubin class
Jörg Seiler
A new pseudodifferential calculus of Shubin type is introduced. The calculus contains operators depending on a non negative real parameter as well as operators independent of the p…
-boundedness of Poisson operators
Robert Denk, Nick Lindemulder, Jörg Seiler
We investigate the -boundedness of parameter-dependent families of Poisson operators on the half-space in various scales of function spaces. Applications concern…
Boundary value problems with rough boundary data
Robert Denk, David Ploß, Sophia Rau +1
We consider linear boundary value problems for higher-order parameter-elliptic equations, where the boundary data do not belong to the classical trace spaces. We employ a class of…
Bounded -calculus for Boundary Value Problems on Manifolds with Conical Singularities
Nikolaos Roidos, Elmar Schrohe, Jörg Seiler
Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded -calculus in appr…
Parametric pseudodifferential operators with point-singularity in the covariable
Jörg Seiler
Starting out from a new description of a class of parameter-dependent pseudodifferential operators with finite regularity number due to G. Grubb, we introduce a calculus of paramet…
Bounded -calculus for cone differential operators
Elmar Schrohe, Jörg Seiler
We prove that parameter-elliptic extensions of cone differential operators have a bounded -calculus. Applications concern the Laplacian and the porous medium equation on…