TY - BOOK AU - Kuksin,Sergej B. TI - Nearly integrable infinite-dimensional Hamiltonian systems T2 - Lecture notes in mathematics, SN - 9783540479208 AV - QA614.83 .K85 1993 U1 - 515.39 22 PY - 1993/// CY - Berlin, New York PB - Springer-Verlag KW - Hamiltonian systems KW - Schrödinger equation KW - Systèmes hamiltoniens KW - Équation de Schrödinger KW - fast KW - Globale analyse KW - gtt KW - Integrables System KW - gnd KW - Hamiltonsches System KW - Unendlichdimensionales System KW - ram KW - Schrödinger, Équation de KW - Electronic books N1 - Includes bibliographical references (pages 96-100) and index; Symplectic structures and hamiltonian systems in scales of hilbert spaces -- Statement of the main theorem and its consequences -- Proof of the main theorem; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2010 N2 - The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. The theorem is applied to classical nonlinear PDE's with one-dimensional space variable such as the nonlinear string and nonlinear Schr UR - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0092243 ER -