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

Damian Wiśniewski. "The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains." Annales Mathematicae Silesianae 30.1 (2016): 203-217. <http://eudml.org/doc/286756>.

@article{DamianWiśniewski2016,
abstract = {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.},
author = {Damian Wiśniewski},
journal = {Annales Mathematicae Silesianae},
keywords = {boundary value problems; weak solutions; second order elliptic linear equations; unbounded domains; Dini-continuity},
language = {eng},
number = {1},
pages = {203-217},
title = {The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains},
url = {http://eudml.org/doc/286756},
volume = {30},
year = {2016},
}

TY - JOUR
AU - Damian Wiśniewski
TI - The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains
JO - Annales Mathematicae Silesianae
PY - 2016
VL - 30
IS - 1
SP - 203
EP - 217
AB - 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.
LA - eng
KW - boundary value problems; weak solutions; second order elliptic linear equations; unbounded domains; Dini-continuity
UR - http://eudml.org/doc/286756
ER -