American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1995; 220 pp; hardcover Volume: 164 ISBN10: 0821841238 ISBN13: 9780821841235 List Price: US$122 Member Price: US$97.60 Order Code: TRANS2/164
 This collection focuses on nonlinear problems in partial differential equations. Most of the papers are based on lectures presented at the seminar on partial differential equations and mathematical physics at St. Petersburg University. Among the topics explored are the existence and properties of solutions of various classes of nonlinear evolution equations, nonlinear imbedding theorems, bifurcations of solutions, and equations of mathematical physics (NavierStokes type equations and the nonlinear Schrödinger equation). The book will be useful to researchers and graduate students working in partial differential equations and mathematical physics. Readership Researchers and graduate students working in partial differential equations and mathematical physics. Table of Contents  D. E. Apushkinskaya and A. I. Nazarov  Hölder estimates of solutions to initialboundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition
 A. A. Arkhipova  Reverse Hölder inequalities with boundary integrals and \(L_p\)estimates for solutions of nonlinear elliptic and parabolic boundaryvalue problems
 Ya. Belopol'skaya  Quasilinear parabolic equations with small parameter in a Hilbert space
 V. S. Buslaev and G. S. Perelman  On the stability of solitary waves for nonlinear Schrödinger equations
 O. Ladyzhenskaya and G. Seregin  On semigroups generated by initialboundary value problems describing twodimensional viscoplastic flows
 V. A. Malyshev  Elliptic differential inequalities, embedding theorems, and variational problems
 V. I. Oliker and N. N. Uraltseva  Long time behavior of flows moving by mean curvature
 V. G. Osmolovskiĭ and A. V. Sidorov  Bifurcation problem for nonlinear second order equations in variable regions
 S. Repin and G. Seregin  Existence of a weak solution of the minimax problem arising in CoulombMohr plasticity
