Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander

• Autore: Hörmander Lars
• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1979
• Descrizione fisica: 1 online resource (296 pages) : illustrations
• Disciplina: 515/.353
• Soggetto topico: Differential equations, Linear - Numerical solutions; Differential equations, Partial - Numerical solutions
• Soggetto non controllato: A priori estimate; Adjoint equation; Analytic continuation; Analytic function; Analytic manifold; Asymptote; Asymptotic analysis; Asymptotic distribution; Asymptotic expansion; Asymptotic formula; Big O notation; Calculus on manifolds; Canonical transformation; Characteristic equation; Characteristic function (probability theory); Codimension; Cohomology; Commutator; Complex manifold; Complex number; Continuous function (set theory); Continuous function; Covariant derivative; Diffeomorphism; Differential equation; Differential operator; Dirichlet problem; Eigenfunction; Eigenvalues and eigenvectors; Elementary proof; Elliptic boundary value problem; Equation; Equivalence class; Equivalence relation; Error term; Existence theorem; Existential quantification; Exponential function; Fourier integral operator; Fourier inversion theorem; Fourier transform; Functional calculus; Fundamental solution; Hamiltonian vector field; Hardy space; Harmonic analysis; Hermann Weyl; Hermitian adjoint; Hilbert space; Holomorphic function; Homogeneous function; Hyperbolic partial differential equation; Hyperfunction; Hypersurface; Inclusion map; Inequality (mathematics); Integer lattice; Integral transform; Irreducible representation; Lagrangian (field theory); Laplace operator; Limit (mathematics); Linear map; Local diffeomorphism; Manifold; Mathematical optimization; Maximal torus; Monotonic function; Ordinary differential equation; Oscillatory integral; Partial differential equation; Partition of unity; Poisson bracket; Poisson summation formula; Polynomial; Projection (linear algebra); Projective variety; Pseudo-differential operator; Regularity theorem; Renormalization; Riemann surface; Riemannian manifold; Riesz representation theorem; Self-adjoint operator; Self-adjoint; Sign (mathematics); Special case; Spectral theorem; Spectral theory; Summation; Support (mathematics); Symplectic geometry; Symplectic manifold; Taylor series; Theorem; Toeplitz operator; Trace class; Trigonometric polynomial; Unit disk; Variable (mathematics)
• Persona (resp. second.): GuilleminVictor; HangesNicholas; HörmanderLars; MelroseR. B.; MenikoffA.; MonvelLouis Boutet de; SjöstrandJ.; WidomHarold
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: Frontmatter -- Contents -- Preface / Hörmander, Lars -- Spectral Analysis of Singularities / Hörmander, Lars -- Fourier Integral Operators with Complex Phase Functions / Sjöstrand, J. -- Hypoelliptic Operators with Double Characteristics / Menikoff, A. -- Differential Boundary Value Problems of Principal Type / Melrose, R. B. -- Propagation of Singularities for a Class of Operators with Double Characteristics / Hanges, Nicholas -- Subelliptic Operators / Hörmander, Lars -- Lacunas and Transmissions / Monvel, Louis Boutet de -- Some Classical Theorems in Spectral Theory Revisited / Guillemin, Victor -- Szegö's Theorem and a Complete Symbolic Calculus for Pseudo-Differential Operators / Widom, Harold -- Backmatter
• Sommario/riassunto: Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.
• Titolo autorizzato: Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91
• ISBN: 1-4008-8158-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154745903321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; Number 91.