Some Nonlinear Evolution Problems in Mixed Form

Ulisse Stefanelli; Augusto Visintin

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 2, page 303-320
  • ISSN: 0392-4041

Abstract

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This work deals with some abstract equations, either linear or nonlinear, arising from the so-called mixed formulation of PDEs of elliptic and parabolic type. This class of variational formulations turns out to be particularly relevant in connection with the development of finite elements approximations. We prove the well-posedness of both the stationary and the evolution problems.

How to cite

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Stefanelli, Ulisse, and Visintin, Augusto. "Some Nonlinear Evolution Problems in Mixed Form." Bollettino dell'Unione Matematica Italiana 2.2 (2009): 303-320. <http://eudml.org/doc/290552>.

@article{Stefanelli2009,
abstract = {This work deals with some abstract equations, either linear or nonlinear, arising from the so-called mixed formulation of PDEs of elliptic and parabolic type. This class of variational formulations turns out to be particularly relevant in connection with the development of finite elements approximations. We prove the well-posedness of both the stationary and the evolution problems.},
author = {Stefanelli, Ulisse, Visintin, Augusto},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {303-320},
publisher = {Unione Matematica Italiana},
title = {Some Nonlinear Evolution Problems in Mixed Form},
url = {http://eudml.org/doc/290552},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Stefanelli, Ulisse
AU - Visintin, Augusto
TI - Some Nonlinear Evolution Problems in Mixed Form
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/6//
PB - Unione Matematica Italiana
VL - 2
IS - 2
SP - 303
EP - 320
AB - This work deals with some abstract equations, either linear or nonlinear, arising from the so-called mixed formulation of PDEs of elliptic and parabolic type. This class of variational formulations turns out to be particularly relevant in connection with the development of finite elements approximations. We prove the well-posedness of both the stationary and the evolution problems.
LA - eng
UR - http://eudml.org/doc/290552
ER -

References

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