Geodesic
Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents
Communications in Mathematics, Tome 25 (2017) no. 1, pp. 55-70

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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.
Classification : 35K55, 35K65
Keywords: $p(x)$-Laplacian; Weak solution; Variable exponents. 
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     author = {Shangerganesh, Lingeshwaran and Gurusamy, Arumugam and Balachandran, Krishnan},
     title = {Weak {Solutions} for {Nonlinear} {Parabolic} {Equations} with {Variable} {Exponents}},
     journal = {Communications in Mathematics},
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Shangerganesh, Lingeshwaran; Gurusamy, Arumugam; Balachandran, Krishnan. Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents. Communications in Mathematics, Tome 25 (2017) no. 1, pp. 55-70. http://geodesic.mathdoc.fr/item/COMIM_2017__25_1_a5/