Variational Equations of Schroedinger-Type in Non-cylindrical Domains

Authors: Bernardi, M.L.; Pozzi, G.A.; Savaré, G.

Source: Journal of Differential Equations, Volume 171, Number 1, March 2001 , pp. 63-87(25)

Publisher: Academic Press

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Abstract:

Cauchy-Dirichlet problems are studied for linear Schroedinger-type partial differential equations in non–cylindrical domains by assuming a monotonicity condition on their sections with respect to time. Existence and uniqueness results are obtained as a consequence of new general results that we prove here for a class of abstract Schroedinger-type differential equations in Hilbert spaces. Copyright 2001 Academic Press.

Keywords: Schroedinger equation; abstract variational evolution equations; non-cylindrical domains

Document Type: Research Article

Affiliations: Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata, 1, Pavia, I-27100, Italy

Publication date: March 1, 2001

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