Year: 1990
Journal of Partial Differential Equations, Vol. 3 (1990), Iss. 1 : pp. 13–20
Abstract
In this paper we consider the initial-boundary value problem for the higher-order degenerate quasilinear parabolic equation \frac{∂u(x, t)}{∂t} + Σ_{|α|≤M}(-1)^{|α|}D^αA_α(x, t, δu, D^mu) = 0 Under some structural conditions for A_α(x, t, δu, D^mu), existence and uniqueness theorem are proved by applying variational operator theory and Galërkin method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1990-JPDE-5787
Journal of Partial Differential Equations, Vol. 3 (1990), Iss. 1 : pp. 13–20
Published online: 1990-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Higher-order degenerate equation