Anti-periodic solutions to a parabolic hemivariational inequality

Jong Yeoul Park; Hyun Min Kim; Sun Hye Park

Kybernetika (2004)

  • Volume: 40, Issue: 4, page [477]-489
  • ISSN: 0023-5954

Abstract

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In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form b ( u ) , where b ∈ L loc ∞ ( R ) . Extending b to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.

How to cite

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Park, Jong Yeoul, Kim, Hyun Min, and Park, Sun Hye. "Anti-periodic solutions to a parabolic hemivariational inequality." Kybernetika 40.4 (2004): [477]-489. <http://eudml.org/doc/33713>.

@article{Park2004,
abstract = {In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form $b(u)$, where $b\in L^\{\infty \}_\{\{\rm loc\}\}(\{R\}).$ Extending $b$ to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.},
author = {Park, Jong Yeoul, Kim, Hyun Min, Park, Sun Hye},
journal = {Kybernetika},
keywords = {hemivariational inequality; variational-hemivariational inequality; anti-periodic boundary value problems; hemivariational inequality; variational-hemivariational inequality; anti-periodic boundary value problem},
language = {eng},
number = {4},
pages = {[477]-489},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Anti-periodic solutions to a parabolic hemivariational inequality},
url = {http://eudml.org/doc/33713},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Park, Jong Yeoul
AU - Kim, Hyun Min
AU - Park, Sun Hye
TI - Anti-periodic solutions to a parabolic hemivariational inequality
JO - Kybernetika
PY - 2004
PB - Institute of Information Theory and Automation AS CR
VL - 40
IS - 4
SP - [477]
EP - 489
AB - In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form $b(u)$, where $b\in L^{\infty }_{{\rm loc}}({R}).$ Extending $b$ to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.
LA - eng
KW - hemivariational inequality; variational-hemivariational inequality; anti-periodic boundary value problems; hemivariational inequality; variational-hemivariational inequality; anti-periodic boundary value problem
UR - http://eudml.org/doc/33713
ER -

References

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  8. Nakao M., Okochi H., Anti-periodic solutions for u t t - ( σ ( u x ) ) x - u x x t = f ( x , t ) , J. Math. Anal. Appl. 197 (1996), 796–809 (197) MR1373081
  9. Okochi H., 10.2969/jmsj/04030541, J. Math. Soc. Japan 40 (1988), 541–553 (1988) Zbl0679.35046MR0945351DOI10.2969/jmsj/04030541
  10. Panatiotopoulos P. D., Nonconvex superpotentials in the sense of F, H. Clarke and applications. Mech. Res. Comm. 8 (1981), 335–340 (1981) MR0639382
  11. Rauch J., 10.1090/S0002-9939-1977-0442453-6, Proc. Amer. Math. Soc. 64 (1977), 277–282 (1977) Zbl0413.35031MR0442453DOI10.1090/S0002-9939-1977-0442453-6
  12. Showalter R. E., Monotone operators in Banach space and nonlinear partial differential equations, Mathematical Surveys Monographs 49 (1996) (1996) MR1422252

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