04653nam 22007815 450 991025741530332120200702020043.03-540-46868-410.1007/BFb0025757(CKB)1000000000233478(SSID)ssj0000325147(PQKBManifestationID)12069562(PQKBTitleCode)TC0000325147(PQKBWorkID)10322172(PQKB)11548153(DE-He213)978-3-540-46868-4(PPN)15520453X(EXLCZ)99100000000023347820121227d1989 u| 0engurnn|008mamaatxtccrNew Methods and Results in Non-linear Field Equations[electronic resource] Proceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, 7–10 July 1987 /edited by Philippe Blanchard, Joao-Paulo Dias, Joachim Stubbe1st ed. 1989.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1989.1 online resource (VII, 136 p. 2 illus.) Lecture Notes in Physics,0075-8450 ;347Bibliographic Level Mode of Issuance: Monograph3-540-51977-7 Some remarks on stochastically perturbed (Hamiltonian) systems -- Stability of ground states for nonlinear classical field theories -- A note on solutions of two-dimensional semilinear elliptic vector-field equations with strong nonlinearity -- Some remarks on the nonlinear Schrödinger equation in the subcritical case -- The Cauchy problem for the Dirac equation with cubic nonlinearity in three space dimensions -- The Cauchy problem for the non-linear Klein-Cordon equation -- Conformal invariance and time decay for nonlinear wave equations -- Energy forms and white noise analysis -- Principles of solitary wave stability.Quantum effects may be modelled by means of stochastic perturbation of non-linear partial differential (field) equations. Contributions to this field of research are collected in this volume. Finite dimensional stochastically perturbed Hamiltonian systems and infinite dimensional white noise analysis are treated. The main part concerns problems encountered in deterministic equations. Papers treat the existence of solutions for given initial data, the existence of non-linear bound states or solitary waves including a thorough discussion of various approaches to stability, and global properties (e.g. time decay properties) for non-linear wave equations. This volume provides a good survey of present-day research in non-linear problems of quantum theory for researchers and graduate students.Lecture Notes in Physics,0075-8450 ;347Quantum physicsPhysicsThermodynamicsStatistical physicsDynamical systemsQuantum computersSpintronicsQuantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Thermodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21050Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Quantum physics.Physics.Thermodynamics.Statistical physics.Dynamical systems.Quantum computers.Spintronics.Quantum Physics.Mathematical Methods in Physics.Numerical and Computational Physics, Simulation.Thermodynamics.Complex Systems.Quantum Information Technology, Spintronics.530.12Blanchard Philippeedthttp://id.loc.gov/vocabulary/relators/edtDias Joao-Pauloedthttp://id.loc.gov/vocabulary/relators/edtStubbe Joachimedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910257415303321New Methods and Results in Non-linear Field Equations2506279UNINA