Geodesic
Higher-order nonlinear parabolic equations
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 37 (1990), pp. 89-166
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The basic results and methods of the theory of high order nonlinear parabolic equations are described. In the first chapter boundary problems for quasilinear parabolic equations having divergent form are considered. In the second chapter nonlinear parabolic equations of general form are considered. Attention is mainly paid to methods of study of nonlinear parabolic problems. In particular, the methods of monotonicity and compactness, the method of a priori estimates, the functional-analytic method, etc. are described. 
@article{INTD_1990_37_a1,
     author = {Yu. A. Dubinskii},
     title = {Higher-order nonlinear parabolic equations},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {89--166},
     year = {1990},
     volume = {37},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1990_37_a1/}
}
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Yu. A. Dubinskii. Higher-order nonlinear parabolic equations. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 37 (1990), pp. 89-166. http://geodesic.mathdoc.fr/item/INTD_1990_37_a1/