Inverse Nodal Problems: Finding the Potential from Nodal Lines (Memoirs of the American Mathematical Society) - Tapa blanda

Hald, Ole H.; McLaughlin, Joyce R.

 
9780821804865: Inverse Nodal Problems: Finding the Potential from Nodal Lines (Memoirs of the American Mathematical Society)
Tapa blanda
ISBN 10: 0821804863 ISBN 13: 9780821804865
Editorial: American Mathematical Society, 1996

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

does not need NBB copy

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
1996
Idioma
Inglés
ISBN 10 
0821804863
ISBN 13 
9780821804865
Encuadernación
Tapa blanda
Número de páginas
148
Contacto del fabricante
no disponible
Persona responsable
no disponible