arXiv Open Access 2019

On overdetermind problems for a general class of nonlocal operators

Anup Biswas Sven Jarohs

Lihat Sumber

Abstrak

We study the overdetermined problem for a large family of non-local operators given by generators of subordinate Brownian motions. In particular, this family includes the fractional Laplacian, relativistic stable operators etc. We consider these problems in bounded domains, exterior domains, and in annular domains and we show that under suitable conditions, the domains and solutions are both radially symmetric. Our method uses both analytic and probabilistic tools.

Topik & Kata Kunci

math.AP

Penulis (2)

Anup Biswas

Sven Jarohs

Format Sitasi

APA MLA BibTeX

Biswas, A., Jarohs, S. (2019). On overdetermind problems for a general class of nonlocal operators. https://arxiv.org/abs/1904.01917

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓