Semipermeable surfaces for non-smooth differential inclusions

Andrzej Leśniewski; Tadeusz Rzeżuchowski

Mathematica Bohemica (2006)

  • Volume: 131, Issue: 3, page 261-278
  • ISSN: 0862-7959

Abstract

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We investigate the regularity of semipermeable surfaces along barrier solutions without the assumption of smoothness of the right-hand side of the differential inclusion. We check what can be said if the assumptions concern not the right-hand side itself but the cones it generates. We examine also the properties of families of sets with semipermeable boundaries.

How to cite

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Leśniewski, Andrzej, and Rzeżuchowski, Tadeusz. "Semipermeable surfaces for non-smooth differential inclusions." Mathematica Bohemica 131.3 (2006): 261-278. <http://eudml.org/doc/249907>.

@article{Leśniewski2006,
abstract = {We investigate the regularity of semipermeable surfaces along barrier solutions without the assumption of smoothness of the right-hand side of the differential inclusion. We check what can be said if the assumptions concern not the right-hand side itself but the cones it generates. We examine also the properties of families of sets with semipermeable boundaries.},
author = {Leśniewski, Andrzej, Rzeżuchowski, Tadeusz},
journal = {Mathematica Bohemica},
keywords = {differential inclusions; semipermeable surfaces; barrier solutions; barrier solution},
language = {eng},
number = {3},
pages = {261-278},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Semipermeable surfaces for non-smooth differential inclusions},
url = {http://eudml.org/doc/249907},
volume = {131},
year = {2006},
}

TY - JOUR
AU - Leśniewski, Andrzej
AU - Rzeżuchowski, Tadeusz
TI - Semipermeable surfaces for non-smooth differential inclusions
JO - Mathematica Bohemica
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 131
IS - 3
SP - 261
EP - 278
AB - We investigate the regularity of semipermeable surfaces along barrier solutions without the assumption of smoothness of the right-hand side of the differential inclusion. We check what can be said if the assumptions concern not the right-hand side itself but the cones it generates. We examine also the properties of families of sets with semipermeable boundaries.
LA - eng
KW - differential inclusions; semipermeable surfaces; barrier solutions; barrier solution
UR - http://eudml.org/doc/249907
ER -

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