06951nam 22016935 450 991015474700332120190708092533.01-4008-8218-410.1515/9781400882182(CKB)3710000000627785(MiAaPQ)EBC4738679(DE-B1597)467960(OCoLC)979728852(DE-B1597)9781400882182(EXLCZ)99371000000062778520190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierContributions to the Theory of Partial Differential Equations. (AM-33), Volume 33 /Lipman Bers, Fritz John, Salomon TrustPrinceton, NJ : Princeton University Press, [2016]©19551 online resource (268 pages)Annals of Mathematics Studies ;280"Papers ... read at the Conference on Partial Differential Equations, sponsored by the National Academy of Sciences, National Research Council, October 1952."0-691-09584-1 Includes bibliographies.Frontmatter -- Foreword -- Contents -- I. Green's Formula and Analytic Continuation / Bochner, S. -- II. Strongly Elliptic Systems of Differential Equations / Browder, F. E. -- III. Derivatives of Solutions of Linear Elliptic Partial Differential Equations / John, F. -- IV. On Multivalued Solutions of Linear Partial Differential Equations / Bergman, S. -- V. Function-Theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type / Bers, L. -- VI. On a Generalization of Quasi-Conformal Mappings and its Application to Elliptic Partial Differential Equations / Nirenberg, L. -- VII. Second Order Elliptic Systems of Differential Equations / Morrey, C. B. -- VIII. Conservation Laws of Certain Systems of Partial Differential Equations and Associated Mappings / Loewner, C. -- IX. Parabolic Equations / Lax, P. D. / Milgram, A. N. -- X. Linear Equations of Parabolic Type with Constant Coefficients / Rosenbloom, P. C. -- XI. On Linear Hyperbolic Differential Equations with Variable Coefficients on a Vector Space / Leray, J. -- XII. The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent Variables / Lax, P. D. -- XIII. A Geometric Treatment of Linear Hyperbolic Equations of Second Order / Douglis, A. -- XIV. On Cauchy's Problem and Fundamental Solutions / Diaz, J. B. -- XV. A Boundary Value Problem for the Wave Equation and Mean Value Theorems / Protter, M. H. -- BackmatterThe description for this book, Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33, will be forthcoming.Annals of mathematics studies ;no. 33.Differential equations, PartialA priori estimate.Absolute value.Adjoint equation.Analytic continuation.Analytic function.Applied mathematics.Axiom.Bernhard Riemann.Big O notation.Bilinear form.Boundary value problem.Bounded set (topological vector space).Calculation.Cauchy problem.Cauchy sequence.Cauchy–Riemann equations.Closure (mathematics).Coefficient.Conservation law.Constant coefficients.Continuous function.Derivative.Difference "ient.Differentiable function.Differential equation.Differential form.Differential operator.Directional derivative.Dirichlet boundary condition.Dirichlet integral.Dirichlet problem.Eigenfunction.Eigenvalues and eigenvectors.Ellipse.Elliptic operator.Elliptic partial differential equation.Equation.Estimation.Exact differential.Existence theorem.Existential quantification.Exponential function.Finite difference method.Finite difference.Function (mathematics).Fundamental solution.Green's function.Harmonic function.Heat equation.Hilbert space.Hyperbolic partial differential equation.Hölder's inequality.Infinitesimal generator (stochastic processes).Initial value problem.Integral equation.Integration by parts.Kronecker delta.Lagrange polynomial.Laplace's equation.Limit (mathematics).Limit of a sequence.Limit superior and limit inferior.Linear differential equation.Linear function.Linear map.Lipschitz continuity.Mathematical proof.Modulus of continuity.Mollifier.N-vector.Nonlinear system.Numerical analysis.Operational calculus.Ordinary differential equation.Parametrix.Parity (mathematics).Partial derivative.Partial differential equation.Pointwise.Polynomial.Quadratic form.Quasiconformal mapping.Riemann function.Riemannian geometry.Riemannian manifold.Riemann–Liouville integral.Self-adjoint operator.Self-adjoint.Sign (mathematics).Simultaneous equations.Special case.Spectral theory.Subsequence.Theorem.Unit vector.Upper and lower bounds.Variable (mathematics).Variational principle.Wave equation.Weak solution.Differential equations, Partial.517.38Bers Lipman, 44849John Fritz, Trust Salomon, DE-B1597DE-B1597BOOK9910154747003321Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 332787596UNINA