The present paper is a survey concerned with certain aspects of solvability and well-posedness of initial and initial-boundary value problems for various quasilinear evolution equations of the third order. This class includes, for example, Korteweg - de Vries (KdV) and Zakharov - Kuznetsov (ZK) equations.
@article{7428, title = {Quasilinear evolution equations of the third order - doi: 10.5269/bspm.v25i1-2.7428}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {23}, year = {2009}, doi = {10.5269/bspm.v25i1-2.7428}, language = {EN}, url = {http://dml.mathdoc.fr/item/7428} }
Faminskii, Andrei V. Quasilinear evolution equations of the third order - doi: 10.5269/bspm.v25i1-2.7428. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v25i1-2.7428. http://gdmltest.u-ga.fr/item/7428/