INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
Refined asymptotics for eigenvalues on domains of infinite measure
Autor/es:
J. FERNÁNDEZ BONDER; PINASCO, JUAN PABLO; A. SALORT
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2010 vol. 371 p. 41 - 56
ISSN:
0022-247X
Resumen:
In this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enable us to consider sets with infinite measure. Also, we derive some estimates for the spectral counting function of the Laplace operator on unbounded twodimensional domains.