Spectral aspects of regularization of the Cauchy problem for a degenerate equation

DOI10.1134/S008154380802020XzbMath1235.35180MaRDI QIDQ764676

V. Zh. Sakbaev

Publication date: 14 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

deficiency indicesadmissible regularization

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Degenerate parabolic equations (35K65) Applications of operator theory to differential and integral equations (47N20) Initial value problems for second-order parabolic equations (35K15)

Related Items (13)

Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ On the properties of ambiguity and irreversibility of dynamical maps of the initial data space of Cauchy problem ⋮ The set of quantum states and its averaged dynamic transformations ⋮ Universal boundary value problem for equations of mathematical physics ⋮ On the variational description of the trajectories of averaging quantum dynamical maps ⋮ Regularization of the degenerate Schrödinger equation as a random process ⋮ Diffusion and quantum dynamics of particles with position-dependent mass ⋮ Regularization of Schrödinger groups and semigroups ⋮ On dynamical properties of a one-parameter family of transformations arising in averaging of semigroups ⋮ Averaging of quantum dynamical semigroups ⋮ On quantum dynamics on \(C^\ast\)-algebras ⋮ Quantum systems with infinite-dimensional coordinate space and the Fourier transform ⋮ О динамике множества состояний квантовой системы с вырожденным гамильтонианом

Cites Work

• Cauchy problem for the Graetz-Nusselt ultraparabolic equation
• To the problem of passage to the limit in divergent nonuniformly elliptic equations
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