Extensions of MoserBangert theory : locally minimal solutions
 Author/Creator
 Rabinowitz, Paul H.
 Language
 English.
 Imprint
 [Boston] : Birkhäuser, c2011.
 Physical description
 viii, 208 p. : ill. ; 25 cm.
 Series
 Progress in nonlinear differential equations and their applications ; v. 81.
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographic references (p. 205206) and index.
 Contents

 1 Introduction. Part I: Basic Solutions. 2 Function Spaces and the First Renormalized Functional. 3 The Simplest Heteroclinics. 4 Heteroclinics in x1 and x2. 5 More Basic Solutions. Part II: Shadowing Results. 6 The Simplest Cases. 7 The Proof of Theorem 6.8. 8 kTransition Solutions for k > 2. 9 Monotone 2Transition Solutions. 10 Monotone Multitransition Solutions. 11 A Mixed Case. Part III: Solutions of (PDE) Defined on R^2 x T^{n2}. 12 A Class of Strictly 1Monotone Infinite Transition Solutions of (PDE). 13 Solutions of (PDE) with Two Transitions in x1 and Heteroclinic Behavior in x2.
 (source: Nielsen Book Data)
 Publisher's Summary
 This selfcontained monograph presents extensions of the MoserBangert approach that include solutions of a family of nonlinear elliptic PDEs on Rn and an AllenCahn PDE model of phase transitions. After recalling the relevant MoserBangert results, Extensions of MoserBangert Theory pursues the rich structure of the set of solutions of a simpler model case, expanding upon the studies of Moser and Bangert to include solutions that merely have local minimality properties. The work is intended for mathematicians who specialize in partial differential equations and may also be used as a text for a graduate topics course in PDEs.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Responsibility
 Paul H. Rabinowitz, Edward W. Stredulinsky.
 Series
 Progress in nonlinear differential equations and their applications ; v. 81
 ISBN
 0817681167
 9780817681166