Back to Search
Start Over
Resolvent bounds for jump generators
- Publication Year :
- 2018
- Publisher :
- Taylor & Francis Ltd, 2018.
-
Abstract
- This is an Accepted Manuscript of an article published by Taylor & Francis in Applicable Analysis on 02/12/2016, available online: https://doi.org/10.1080/00036811.2016.1263838. The paper deals with jump generators with a convolution kernel. Assuming that the kernel decays either exponentially or polynomially, we prove a number of lower and upper bounds for the resolvent of such operators. In particular we focus on sharp estimates of the resolvent kernel for small values of the spectral parameter. We consider two applications of these results. First we obtain pointwise estimates for principal eigenfunction of jump generators perturbed by a compactly supported potential (so-called nonlocal Schrödinger operators). Then we consider the Cauchy problem for the corresponding inhomogeneous evolution equations and study the behaviourofitssolutions.
- Subjects :
- resolvent kernel
Applied Mathematics
010102 general mathematics
Foundation (engineering)
dispersal kernel
01 natural sciences
VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410
VDP::Mathematics and natural science: 400::Mathematics: 410
010104 statistics & probability
principal
Jump
Calculus
Spectral analysis
Nonlocal operator
eigenfunction
0101 mathematics
Analysis
Resolvent
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....7f95108f38804131468395fba879fb9d