Remarks on the powers of elliptic operators.

Jan W. Cholewa; Tomasz Dlotko

Revista Matemática Complutense (2000)

  • Volume: 13, Issue: 2, page 325-336
  • ISSN: 1139-1138

Abstract

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Under natural regularity assumptions on the data the powers of regular elliptic boundary value problems (e.b.v.p.) are shown to be higher order regular e.b.v.p.. This result is used in description of the domains of fractional powers of elliptic operators which information is in order important in regularity considerations for solutions of semilinear parabolic equations. Presented approach allows to avoid C∞-smoothness assumption on the data that is typical in many references.

How to cite

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Cholewa, Jan W., and Dlotko, Tomasz. "Remarks on the powers of elliptic operators.." Revista Matemática Complutense 13.2 (2000): 325-336. <http://eudml.org/doc/44483>.

@article{Cholewa2000,
abstract = {Under natural regularity assumptions on the data the powers of regular elliptic boundary value problems (e.b.v.p.) are shown to be higher order regular e.b.v.p.. This result is used in description of the domains of fractional powers of elliptic operators which information is in order important in regularity considerations for solutions of semilinear parabolic equations. Presented approach allows to avoid C∞-smoothness assumption on the data that is typical in many references.},
author = {Cholewa, Jan W., Dlotko, Tomasz},
journal = {Revista Matemática Complutense},
keywords = {Operadores elípticos; Ecuaciones diferenciales elípticas; Condiciones de contorno; smoothness condition; uniform strong ellipticity condition; -strong complementary condition},
language = {eng},
number = {2},
pages = {325-336},
title = {Remarks on the powers of elliptic operators.},
url = {http://eudml.org/doc/44483},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Cholewa, Jan W.
AU - Dlotko, Tomasz
TI - Remarks on the powers of elliptic operators.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 2
SP - 325
EP - 336
AB - Under natural regularity assumptions on the data the powers of regular elliptic boundary value problems (e.b.v.p.) are shown to be higher order regular e.b.v.p.. This result is used in description of the domains of fractional powers of elliptic operators which information is in order important in regularity considerations for solutions of semilinear parabolic equations. Presented approach allows to avoid C∞-smoothness assumption on the data that is typical in many references.
LA - eng
KW - Operadores elípticos; Ecuaciones diferenciales elípticas; Condiciones de contorno; smoothness condition; uniform strong ellipticity condition; -strong complementary condition
UR - http://eudml.org/doc/44483
ER -

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