Spectral Theory And Nonlinear Analysis With Applications to Spatial Ecology

by Cano-casanova, S.; Complutense International Seminar Spectr; Lopez-Gomez, Julian; Mora-corral, C.

• ISBN13: 9789812565143
• ISBN10: 9812565140
• Format: Hardcover
• Copyright: 2005-09-29
• Publisher: World Scientific Pub Co Inc

Summary

This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrodinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology. The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis - from the most abstract developments up to the most concrete applications to population dynamics and socio-biology - in an effort to fill the existing gaps between these fields.

Table of Contents

Preface	p. v
Poster of the Seminar	p. vii
On the Positive Solutions of the Logistic Weighted Elliptic BVP with Sublinear Mixed Boundary Conditions	p. 1
Logarithmic Interpolation Spaces	p. 17
Remarks on Large Solutions	p. 31
Well Posedness and Asymptotic Behaviour of a Closed Loop Thermosyphon	p. 59
Uniqueness of Large Solutions for a Class of Radially Symmetric Elliptic Equations	p. 75
Cooperation and Competition, Strategic Alliances, and the Cambrian Explosion	p. 111
Local Smith Form and Equivalence for One-parameter Families of Fredholm Operators of Index Zero	p. 127
Multilump Solutions of the Non-linear Schrodinger Equation - A Scaling Approach	p. 163
Some Elliptic Problems with Nonlinear Boundary Conditions	p. 175
Dynamical Systems Method (DSM) and Nonlinear Problems	p. 201
Some Recent Results on Periodic, Jumping Nonlinearity Problems	p. 229
Some Remarks about the Cubic Schrodinger Equation on the Line	p. 247
Some Remarks on the Invariance of Level Sets in Dynamical Systems	p. 257
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