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Spectral analysis, differential equations, and mathematical physicsSpectral analysis, differential equations, and mathematical physics

Spectral analysis, differential equations, and mathematical physics

H. Holden, Gerald Teschl, Barry Simon, Fritz Gesztesy

Details

OL Work ID
OL23279536W

Subjects

Differential equationsMathematical physicsOrdinary differential equations -- Dynamic equations on time scales or measure chains -- Dynamic equations on time scales or measure chainsOrdinary differential equations -- Ordinary differential operators -- General spectral theoryPartial differential equations -- Spectral theory and eigenvalue problems -- General topics in linear spectral theoryPartial differential equations -- Hyperbolic equations and systems -- Initial value problems for first-order hyperbolic systemsFunctional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theoremsOperator theory -- General theory of linear operators -- General (adjoints, conjugates, products, inverses, domains, ranges, etc.).Operator theory -- Special classes of linear operators -- Jacobi (tridiagonal) operators (matrices) and generalizationsQuantum theory -- Quantum field theory; related classical field theories -- Constructive quantum field theoryQuantum theory -- General mathematical topics and methods in quantum theory -- Selfadjoint operator theory in quantum theory, including spectral analysisSystems theory; control -- Stochastic systems and control -- Stochastic systems, generalOrdinary differential equationsDynamic equations on time scales or measure chainsOrdinary differential operatorsGeneral spectral theoryPartial differential equationsSpectral theory and eigenvalue problems

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