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Communications in Partial Differential Equations Volume 20, 1995 - Issue 11-12
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Original Articles

On the heat trace of schrödinger operators

Rodrigo Bañuelos Department of Mathematics, Purdue University, West Lafayette, IN, 47907
&
Antônio Sá Barreto Department of Mathematics, Purdue University, West Lafayette, IN, 47907
Pages 2153-2164 | Published online: 18 Nov 2011

Citations (13)

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Antônio Sá Barreto & Siu-Hung Tang. (2000) Existence of Resonances in Even Dimensional Potential Scattering. Communications in Partial Differential Equations 25:5-6, pages 1143-1151.
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Articles from other publishers (12)

Hart F. Smith. (2023) On the trace of the wave group and regularity of potentials. Annales de l'Institut Fourier 73:4, pages 1453-1488.
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Peter Hislop & Robert Wolf. (2021) Compactness of iso-resonant potentials for Schrödinger operators in dimensions one and three. Transactions of the American Mathematical Society 374:6, pages 4481-4499.
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T. J. Christiansen. (2019) Resonant Rigidity for Schrödinger Operators in Even Dimensions. Annales Henri Poincaré 20:5, pages 1543-1582.
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H. Isozaki & E. L. Korotyaev. (2018) New Trace Formulas in Terms of Resonances for Three-Dimensional Schrödinger Operators. Russian Journal of Mathematical Physics 25:1, pages 27-43.
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Luis Acuña Valverde. (2016) Heat Content for Stable Processes in Domains of $$\mathbb {R}^d$$. The Journal of Geometric Analysis 27:1, pages 492-524.
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Luis Acuña Valverde. (2015) A decomposition for additive functionals of Lévy processes. Stochastic Processes and their Applications 125:3, pages 994-1008.
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Luis Acuña Valverde & Rodrigo Bañuelos. (2014) Heat Content and Small Time Asymptotics for Schrödinger Operators on ℝ d ${\mathbb {R}}^{d}$. Potential Analysis 42:2, pages 457-482.
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Luis Acuña Valverde. (2014) Trace asymptotics for fractional Schrödinger operators. Journal of Functional Analysis 266:2, pages 514-559.
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T. J. Christiansen & P. D. Hislop. (2010) Resonances for Schrödinger operators with compactly supported potentials. Journées équations aux dérivées partielles, pages 1-18.
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Harold Donnelly. (2004) Compactness of isospectral potentials. Transactions of the American Mathematical Society 357:5, pages 1717-1730.
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Antônio Sá Barreto. (1999) Lower Bounds for the Number of Resonances in Even Dimensional Potential Scattering. Journal of Functional Analysis 169:1, pages 314-323.
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F. Gesztesy & H. Holden. 1997. Multiparticle Quantum Scattering With Applications to Nuclear, Atomic and Molecular Physics. Multiparticle Quantum Scattering With Applications to Nuclear, Atomic and Molecular Physics 121 145 .

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