Inverse Nodal Problems: Finding the Potential from Nodal Lines - Couverture souple

Hald, Ole H.; McLaughlin, Joyce R.

Couverture souple

ISBN 10 : 0821804863 ISBN 13 : 9780821804865

Editeur : American Mathematical Society, 1996

Synopsis

Can you hear the shape of a drum? No. In this book, the authors ask, 'Can you see the force on a drum?' Hald and McLaughlin prove that for almost all rectangles the potential in a Schrodinger equation is uniquely determined (up to an additive constant) by a subset of the nodal lines. They derive asymptotic expansions for a rich set of eigenvalues and eigenfunctions. Using only the nodal line positions, they establish an approximate formula for the potential and give error bounds. The theory is appropriate for a graduate topics course in analysis with emphasis on inverse problems. The formulas that solve the inverse problem are very simple and easy to state. Nodal Line Patterns-Chaldni Patterns - are shown to be a rich source of data for the inverse problem. The data in this book is used to establish a simple formula that is the solution of an inverse problem.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1996
• Langue: anglais
• ISBN 10: 0821804863
• ISBN 13: 9780821804865
• Reliure: Broché
• Nombre de pages: 148
• Coordonnées du fabricant: non disponible
• Personne responsable: Mare Nostrum Group B.V.; gpsr@mare-nostrum.co.uk; ; Doelen 72; Breda; 4831 GR; Pays-Bas