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Cauchy Problem For Noneffectively Hyperbolic Operators

spaces, the Gevrey class of order 1 s 5.In this lecture, we provide a general picture of the Cauchy problem for noneffectively hyperbolic;

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Lectures on Linear Partial Differential Equations

problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory. The;

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Hyperbolic Equations and General Relativity

of finding a solution to the Cauchy problem for Einstein field equations in vacuum with non-analytic initial data is presented by first studying;

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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75

monograph is a self-contained exposition of the Neumann problem for the Cauchy-Riemann complex and certain of its applications. The authors prove;

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Variable Lebesgue Spaces and Hyperbolic Systems

feature of the described approach is that oscillations in coefficients are allowed. Propagators for the Cauchy problems are constructed as;

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Introduction To Spectral Theory And Inverse Problem On Asymptotically Hyperbolic Manifolds

problems for the Laplace-Beltrami operators on asymptotically hyperbolic manifolds. Based upon the classical stationary scattering theory in n, the;

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Linear and Quasi-linear Evolution Equations in Hilbert Spaces

-posedness and asymptotic behavior results for the Cauchy problem for quasi-linear equations. Solutions of linear equations are constructed;

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Denseness, Bases and Frames in Banach Spaces and Applications

This book is devoted to recent developments concerning linear operators, covering topics such as the Cauchy problem, Riesz basis, frames;

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Hyperbolic Differential Operators And Related Problems

analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics;

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Hyperbolic Differential Operators And Related Problems

analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics;

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Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology

Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading;

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Semigroups of Linear Operators and Applications

This advanced monograph of semigroup theory explores semigroups of linear operators and linear Cauchy problems. Suitable for graduate;

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London Mathematical Society Lecture Note Series

Pseudodifferential operators arise naturally in the solution of boundary problems for partial differential equations. The formalism;

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Generalized Hyperbolic Secant Distributions

that ... the hyperbolic-secant distribution ... has not received sufficient attention in the published literature and may be useful for;

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Abstract Cauchy Problems

in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations;

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Abstract Cauchy Problems

in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations;

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The Quantization of Gravity

of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with;

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Functional Calculi

into a subspace of continuous linear operators, i.e. a method for defining functions of an operator . Perhaps the most familiar example;

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Geometrical Optics and Related Topics

highly degenerate operators. A result for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions;

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Hyperbolic Conservation Laws and the Compensated Compactness Method

The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many;

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Pseudodifferential Operators and Wavelets over Real and p adic Fields

pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet solutions to Cauchy problems over the real field and the p-adic;

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Discrete Approximation Theory

following types: Picard, Gauss-Weierstrass and Poisson-Cauchy operators. We treat both the unitary and non-unitary, univariate and multivariate;

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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

Cauchy problems and are also useful in proving stability estimates for certain elliptic inverse problems. The book presents three inverse;

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Stochastic Cauchy Problems in Infinite Dimensions

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for;

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Clifford Algebras and Their Applications in Mathematical Physics

, and fluid dynamics to Fourier analysis, the study of boundary value problems, and applications, to mathematical physics and Schwarzian;

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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between;

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Fourier Integral Operators

application to hyperbolic equations (= equations of wave type) and oscillatory asymptotic solutions which may have caustics. This text is suitable for;

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