Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents

Lingeshwaran Shangerganesh; Arumugam Gurusamy; Krishnan Balachandran

Communications in Mathematics (2017)

  • Volume: 25, Issue: 1, page 55-70
  • ISSN: 1804-1388

Abstract

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In this work, we study the existence and uniqueness of weak solutions of fourth-order degenerate parabolic equation with variable exponent using the difference and variation methods.

How to cite

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Shangerganesh, Lingeshwaran, Gurusamy, Arumugam, and Balachandran, Krishnan. "Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents." Communications in Mathematics 25.1 (2017): 55-70. <http://eudml.org/doc/294106>.

@article{Shangerganesh2017,
abstract = {In this work, we study the existence and uniqueness of weak solutions of fourth-order degenerate parabolic equation with variable exponent using the difference and variation methods.},
author = {Shangerganesh, Lingeshwaran, Gurusamy, Arumugam, Balachandran, Krishnan},
journal = {Communications in Mathematics},
keywords = {$p(x)$-Laplacian; Weak solution; Variable exponents},
language = {eng},
number = {1},
pages = {55-70},
publisher = {University of Ostrava},
title = {Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents},
url = {http://eudml.org/doc/294106},
volume = {25},
year = {2017},
}

TY - JOUR
AU - Shangerganesh, Lingeshwaran
AU - Gurusamy, Arumugam
AU - Balachandran, Krishnan
TI - Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents
JO - Communications in Mathematics
PY - 2017
PB - University of Ostrava
VL - 25
IS - 1
SP - 55
EP - 70
AB - In this work, we study the existence and uniqueness of weak solutions of fourth-order degenerate parabolic equation with variable exponent using the difference and variation methods.
LA - eng
KW - $p(x)$-Laplacian; Weak solution; Variable exponents
UR - http://eudml.org/doc/294106
ER -

References

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