Wentzell Boundary Conditions in the Nonsymmetric Case

A. Favini; G. R. Goldstein; J. A. Goldstein; S. Romanelli

Mathematical Modelling of Natural Phenomena (2008)

  • Volume: 3, Issue: 7, page 143-147
  • ISSN: 0973-5348

Abstract

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Let L be a nonsymmetric second order uniformly elliptic operator with generalWentzell boundary conditions. We show that a suitable version of L generates a quasicontractive semigroup on an Lp space that incorporates both the underlying domain and its boundary. This extends the earlier work of the authors on the symmetric case.

How to cite

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Favini, A., et al. "Wentzell Boundary Conditions in the Nonsymmetric Case." Mathematical Modelling of Natural Phenomena 3.7 (2008): 143-147. <http://eudml.org/doc/222335>.

@article{Favini2008,
abstract = { Let L be a nonsymmetric second order uniformly elliptic operator with generalWentzell boundary conditions. We show that a suitable version of L generates a quasicontractive semigroup on an Lp space that incorporates both the underlying domain and its boundary. This extends the earlier work of the authors on the symmetric case. },
author = {Favini, A., Goldstein, G. R., Goldstein, J. A., Romanelli, S.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {Wentzell boundary conditions; nonsymmetric elliptic operators; C0 semigroups; quasidissipative operators; semigroups; quasidissipative operators},
language = {eng},
month = {10},
number = {7},
pages = {143-147},
publisher = {EDP Sciences},
title = {Wentzell Boundary Conditions in the Nonsymmetric Case},
url = {http://eudml.org/doc/222335},
volume = {3},
year = {2008},
}

TY - JOUR
AU - Favini, A.
AU - Goldstein, G. R.
AU - Goldstein, J. A.
AU - Romanelli, S.
TI - Wentzell Boundary Conditions in the Nonsymmetric Case
JO - Mathematical Modelling of Natural Phenomena
DA - 2008/10//
PB - EDP Sciences
VL - 3
IS - 7
SP - 143
EP - 147
AB - Let L be a nonsymmetric second order uniformly elliptic operator with generalWentzell boundary conditions. We show that a suitable version of L generates a quasicontractive semigroup on an Lp space that incorporates both the underlying domain and its boundary. This extends the earlier work of the authors on the symmetric case.
LA - eng
KW - Wentzell boundary conditions; nonsymmetric elliptic operators; C0 semigroups; quasidissipative operators; semigroups; quasidissipative operators
UR - http://eudml.org/doc/222335
ER -

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