Nonlinear evolution equations
著者
書誌事項
Nonlinear evolution equations
（American Mathematical Society translations, ser. 2,
American Mathematical Society, c1995
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注記
Includes bibliographical references
内容説明・目次
内容説明
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 (Navier-Stokes type equations and the nonlinear Schrodinger equation). The book will be useful to researchers and graduate students working in partial differential equations and mathematical physics.
目次
Holder estimates of solutions to initial-boundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition by D. E. Apushkinskaya and A. I. Nazarov Reverse Holder inequalities with boundary integrals and $L_p$-estimates for solutions of nonlinear elliptic and parabolic boundary-value problems by A. A. Arkhipova Quasilinear parabolic equations with small parameter in a Hilbert space by Ya. Belopolskaya On the stability of solitary waves for nonlinear Schrodinger equations by V. S. Buslaev and G. S. Perelman On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows by O. Ladyzhenskaya and G. Seregin Elliptic differential inequalities, embedding theorems, and variational problems by V. A. Malyshev Long time behavior of flows moving by mean curvature by V. I. Oliker and N. N. Uraltseva Bifurcation problem for nonlinear second order equations in variable regions by V. G. Osmolovskii and A. V. Sidorov Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity by S. Repin and G. Seregin.
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