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eBook ISBN:  9781470433758 
Product Code:  TRANS2/164.E 
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Hardcover ISBN:  9780821841235 
eBook: ISBN:  9781470433758 
Product Code:  TRANS2/164.B 
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Hardcover ISBN:  9780821841235 
Product Code:  TRANS2/164 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433758 
Product Code:  TRANS2/164.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821841235 
eBook ISBN:  9781470433758 
Product Code:  TRANS2/164.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 164; 1995; 220 ppMSC: Primary 35; Secondary 46
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.
ReadershipResearchers and graduate students working in partial differential equations and mathematical physics.

Table of Contents

Chapters

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′ska — 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. Serëgin — 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


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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.
Researchers and graduate students working in partial differential equations and mathematical physics.

Chapters

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′ska — 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. Serëgin — 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