Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients

2015/04/23 by Fabio Punzo, Enrico Valdinoci, Punzo, Fabio +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1504.06265

arxiv created 2015/04/23 · openalex publication_date 2015/04/23 · arxiv updated 2015/04/24 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

We investigate existence and uniqueness of solutions to a class of fractional parabolic equations satisfying prescribed pointwise conditions at infinity (in space), which can be time- dependent. Moreover, we study the asymptotic behaviour of such solutions. We also consider solutions of elliptic equations satisfying appropriate conditions at infinity.

Related

• Decay at infinity for solutions to some fractional parabolic equations
• Nonexistence of solutions for indefinite fractional parabolic equations
• Qualitative properties of solutions for dual fractional nonlinear parabolic equations
• Master equations with indefinite nonlinearities
• Sharp asymptotic of solutions to some nonlocal parabolic equations