Variational equations of Schroedinger-type in non-cylindrical domains

DOI10.1006/jdeq.2000.3834zbMath0981.35058OpenAlexW1966396288MaRDI QIDQ5933462

Marco Luigi Bernardi, Gianni Arrigo Pozzi, Giuseppe Savaré

Publication date: 18 March 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3834

zbMATH Keywords

Schrödinger equationCauchy-Dirichlet problemconservative solutionvariational equations

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) PDEs in connection with quantum mechanics (35Q40)

Related Items (10)

Sobolev space of functions valued in a monotone Banach family ⋮ Dynamics for the damped wave equations on time-dependent domains ⋮ Parabolic equations in time-dependent domains ⋮ On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding ⋮ Pullback attractors for a semilinear heat equation in a non-cylindrical domain ⋮ Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains II: The monotone case ⋮ Pullback attractors for nonclassical diffusion equations in noncylindrical domains ⋮ Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains ⋮ On the solvability of heat boundary value problems in Sobolev spaces ⋮ Existence and long-time behavior of variational solutions to a class of nonclassical diffusion equations in noncylindrical domains

Cites Work

• Convex analysis and measurable multifunctions
• Parabolic problems with mixed variable lateral conditions: an abstract approach
• Abstract Schrödinger-type differential equations with variable domain
• On some abstract variable domain hyperbolic differential equations
• Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert
• Problemi di Cauchy e problemi ai limiti per equazioni di evoluzione del tipo di Schrödinger lineari e non lineari
• Entropy Numbers and Approximation Numbers in Function Spaces, II
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