Spectral Theory and Geometric Analysis.
Braverman, Maxim.
Spectral Theory and Geometric Analysis. - 1st ed. - 1 online resource (223 pages) - Contemporary Mathematics ; v.535 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- Resolution of Smooth Group Actions -- Geometric Methods in the Analysis of Non-linear Flows in Porous Media -- Artificial Black Holes -- Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator: The Case of Discrete Wells -- Sobolev Mapping Properties of the Scattering Transform for the Schrödinger Equation -- Local Spectral Asymptotics for 2D-Schrödinger Operators with Strong Magnetic Field near the Boundary -- On Normalized Diffrerentials on Families of Curves of Infinite Genus -- Characteristic Classes and Zeroth Order Pseudodifferential Operators -- Tropical Mathematics, Idempotent Analysis, Classical Mechanics and Geometry -- 1. Introduction -- 2. The Maslov dequantization -- 3. Semirings and semifields -- 4. Idempotent analysis -- 5. The superposition principle and linear problems -- 6. Convolution and the Fourier-Legendre transform -- 7. Idempotent functional analysis -- 8. The dequantization transform, convex geometry and the Newton polytopes -- 9. Dequantization of set functions and measures on metric spaces -- 10. Dequantization of geometry -- References -- A Transversal Fredholm Property for the ∂-Neumann Problem on G-bundles -- Abrikosov Lattice Solutions of the Ginzburg-Landau Equations.
9780821882146
Spectral theory (Mathematics) -- Congresses.
Geometric analysis -- Congresses.
Electronic books.
QC20.7.S64 -- S644 2011eb
515/.353
Spectral Theory and Geometric Analysis. - 1st ed. - 1 online resource (223 pages) - Contemporary Mathematics ; v.535 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- Resolution of Smooth Group Actions -- Geometric Methods in the Analysis of Non-linear Flows in Porous Media -- Artificial Black Holes -- Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator: The Case of Discrete Wells -- Sobolev Mapping Properties of the Scattering Transform for the Schrödinger Equation -- Local Spectral Asymptotics for 2D-Schrödinger Operators with Strong Magnetic Field near the Boundary -- On Normalized Diffrerentials on Families of Curves of Infinite Genus -- Characteristic Classes and Zeroth Order Pseudodifferential Operators -- Tropical Mathematics, Idempotent Analysis, Classical Mechanics and Geometry -- 1. Introduction -- 2. The Maslov dequantization -- 3. Semirings and semifields -- 4. Idempotent analysis -- 5. The superposition principle and linear problems -- 6. Convolution and the Fourier-Legendre transform -- 7. Idempotent functional analysis -- 8. The dequantization transform, convex geometry and the Newton polytopes -- 9. Dequantization of set functions and measures on metric spaces -- 10. Dequantization of geometry -- References -- A Transversal Fredholm Property for the ∂-Neumann Problem on G-bundles -- Abrikosov Lattice Solutions of the Ginzburg-Landau Equations.
9780821882146
Spectral theory (Mathematics) -- Congresses.
Geometric analysis -- Congresses.
Electronic books.
QC20.7.S64 -- S644 2011eb
515/.353