The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains

• Autorzy: Damian Wiśniewski
• Języki publikacji: EN

Abstrakty

EN

We investigate the behaviour of weak solutions of boundary value problems (Dirichlet, Neumann, Robin and mixed) for linear elliptic divergence second order equations in domains extending to infinity along a cone. We find an exponent of the solution decreasing rate: we derive the estimate of the weak solution modulus for our problems near the infinity under assumption that leading coefficients of the equations do not satisfy the Dini-continuity condition.

Słowa kluczowe

EN

boundary value problems; weak solutions; second order elliptic linear equations; unbounded domains; Dini-continuity

Kategorie tematyczne

• 35J25: Boundary value problems for second-order elliptic equations

• Wydawca: De Gruyter Open
• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Numer: 1
• Strony: 203-217

Daty

wydano

2016-09-01

otrzymano

2016-02-24

poprawiono

2016-05-25

zaakceptowano

2016-05-27

online

2016-09-23

Twórcy

autor

Damian Wiśniewski

• Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, Sloneczna 54, 10-710 Olsztyn,

Identyfikatory

DOI

10.1515/amsil-2016-0009