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Abstract:

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 two-dimensional domains. © 2010 Elsevier Inc.

Registro:

Documento: Artículo
Título:Refined asymptotics for eigenvalues on domains of infinite measure
Autor:Bonder, J.F.; Pinasco, J.P.; Salort, A.M.
Filiación:Departamento de Matemática, FCEyN - Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina
Palabras clave:Eigenvalues; Lattice points; P-Laplace operator
Año:2010
Volumen:371
Número:1
Página de inicio:41
Página de fin:56
DOI: http://dx.doi.org/10.1016/j.jmaa.2010.04.007
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v371_n1_p41_Bonder.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v371_n1_p41_Bonder

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Citas:

---------- APA ----------
Bonder, J.F., Pinasco, J.P. & Salort, A.M. (2010) . Refined asymptotics for eigenvalues on domains of infinite measure. Journal of Mathematical Analysis and Applications, 371(1), 41-56.
http://dx.doi.org/10.1016/j.jmaa.2010.04.007
---------- CHICAGO ----------
Bonder, J.F., Pinasco, J.P., Salort, A.M. "Refined asymptotics for eigenvalues on domains of infinite measure" . Journal of Mathematical Analysis and Applications 371, no. 1 (2010) : 41-56.
http://dx.doi.org/10.1016/j.jmaa.2010.04.007
---------- MLA ----------
Bonder, J.F., Pinasco, J.P., Salort, A.M. "Refined asymptotics for eigenvalues on domains of infinite measure" . Journal of Mathematical Analysis and Applications, vol. 371, no. 1, 2010, pp. 41-56.
http://dx.doi.org/10.1016/j.jmaa.2010.04.007
---------- VANCOUVER ----------
Bonder, J.F., Pinasco, J.P., Salort, A.M. Refined asymptotics for eigenvalues on domains of infinite measure. J. Math. Anal. Appl. 2010;371(1):41-56.
http://dx.doi.org/10.1016/j.jmaa.2010.04.007