Work

The heat kernel on curvilinear polygonal domains in surfaces

Year: 2024

Type: article

Abstract: R\'esum\'e We construct the heat kernel on curvilinear polygonal domains in arbitrary surfaces for Dirichlet, Neumann, and Robin boundary conditions as well as mixed problems, including those of Zaremba type. We compute the short time asymptotic expansion of the heat trace and apply this expansion to demonstrate a collection of results showing that corners are spectral invariants.

Source: Annales mathématiques du Québec

DOI: 10.1007/s40316-024-00237-4

Authors: Medet Nursultanov, Julie Rowlett, David Sher

Institutions: University of Helsinki, Institute of Mathematics and Mathematical Modeling, Chalmers University of Technology, University of Gothenburg, DePaul University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090