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Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension. (English) Zbl 0575.65112
Theoretical paper for the problem mentioned in the title. Optimal order $$L^ p$$ error estimates which include $$p=\infty$$ are derived. For certain nodal points superconvergence is established. No numerical examples are presented.
Reviewer: W.Schönauer

##### MSC:
 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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##### References:
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