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Introduction Notation Chapter 1. Evolutionary equations. Results on existance 1.1 The (generalized Korteweg-de Vries equation (KdVE) 1.2 The nonlinear Schrödinger equation (NLSE) 1.3 On the blowing up of solutions 1.4 Additional remarks Chapter 2. Stationary problems 2.1 Existence of solutions. An ODE approach 2.2 Existence of solutions. A variational method 2.3 The concentration-compactness method of P.L. Lions 2.4 On basis properties of systems of solutions 2.5 Additional remarks Chapter 3. Stability of solutions 3.1 Stability of soliton-like solutions 3.2 Stability of kinks for the KdVE 3.3 Stability of solutions of the NLSE non-vanishing as (x) to infinity 3.4 Additional remarks Chapter 4. Invariant measures 4.1 On Gaussian measures in Hilbert spaces 4.2 An invariant measure for the NLSE 4.3 An infinite series of invariant measures for the KdVE 4.4 Additional remarks Bibliography Index
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Add Korteweg-De Vries and Nonlinear Schrodinger Equations : Qualitative Theory, The emphasis of this book is on questions typical of nonlinear analysis and qualitative theory of PDEs. The selection of the material is related to the author's attempt to illuminate those particularly interesting questions not yet covered in other monogr, Korteweg-De Vries and Nonlinear Schrodinger Equations : Qualitative Theory to the inventory that you are selling on WonderClubX
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Add Korteweg-De Vries and Nonlinear Schrodinger Equations : Qualitative Theory, The emphasis of this book is on questions typical of nonlinear analysis and qualitative theory of PDEs. The selection of the material is related to the author's attempt to illuminate those particularly interesting questions not yet covered in other monogr, Korteweg-De Vries and Nonlinear Schrodinger Equations : Qualitative Theory to your collection on WonderClub |