Istituto di Matematica Applicata e Tecnologie Informatiche     
Bernardi M. L., Pozzi G. A., Savare' G. Variational equations of Schroedinger-type in non-cylindrical domains. Preprint ercim.cnr.ian//1999-1142, 1999.
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.
Subject Schroedinger equation
Non-cylindrical domains
Abstract variational evolution equations

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