Evolution equations in non-cylindrical domains

Piermarco Cannarsa; Giuseppe Da Prato; Jean-Paul Zolésio

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1989)

  • Volume: 83, Issue: 1, page 73-77
  • ISSN: 1120-6330

Abstract

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We develolp a new method to solve an evolution equation in a non-cylindrical domain, by reduction to an abstract evolution equation..

How to cite

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Cannarsa, Piermarco, Da Prato, Giuseppe, and Zolésio, Jean-Paul. "Evolution equations in non-cylindrical domains." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 83.1 (1989): 73-77. <http://eudml.org/doc/287474>.

@article{Cannarsa1989,
abstract = {We develolp a new method to solve an evolution equation in a non-cylindrical domain, by reduction to an abstract evolution equation..},
author = {Cannarsa, Piermarco, Da Prato, Giuseppe, Zolésio, Jean-Paul},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Evolution equations; Maing domains; Damped wave equation; damped wave equation; solvability},
language = {eng},
month = {12},
number = {1},
pages = {73-77},
publisher = {Accademia Nazionale dei Lincei},
title = {Evolution equations in non-cylindrical domains},
url = {http://eudml.org/doc/287474},
volume = {83},
year = {1989},
}

TY - JOUR
AU - Cannarsa, Piermarco
AU - Da Prato, Giuseppe
AU - Zolésio, Jean-Paul
TI - Evolution equations in non-cylindrical domains
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 73
EP - 77
AB - We develolp a new method to solve an evolution equation in a non-cylindrical domain, by reduction to an abstract evolution equation..
LA - eng
KW - Evolution equations; Maing domains; Damped wave equation; damped wave equation; solvability
UR - http://eudml.org/doc/287474
ER -

References

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  1. ACQUISTAPACE, P. and TERRENI, B., 1984. Some existence and regularity results for abstract non-autonomous parabolic equations. J. Math. Anal. Appl., 99: 9-61. Zbl0555.34051MR732703DOI10.1016/0022-247X(84)90234-8
  2. ACQUISTAPACE, P. and TERRENI, B., 1986. Existence and sharp regularity results for linear parabolic non-autonomous integro-differential equations. Israel J. Math., 53257-302. Zbl0603.45019MR852481DOI10.1007/BF02786562
  3. AGMON, S., 1962. On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems. Comm. Pure. Appl. Math., 15: 119-147. Zbl0109.32701MR147774
  4. KATO, T. and TANABE, H., 1962. On the abstract evolution equations. Osaka Math. J., 14: 107-133. Zbl0106.09302MR140954
  5. ZOLÉSIO, J.P., The material derivative. In: CÉA J. and HAUG E.J., Editors, 1981. Optimization of distributed parameter structures, Vol. II. Sijthoff and Nordhoff, Alpen aan den Rijn, 5: 1089-1151. Zbl0517.73097

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