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Differential Equations in Banach Spaces
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eBook - ePub
Differential Equations in Banach Spaces
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About This Book
This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach Spaces is intended for research mathematicians in functional analysis, partial differential equations, operator theory and control theory; and students in these disciplines.
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Yes, you can access Differential Equations in Banach Spaces by Giovanni Dore,Angelo Favini,Enrico Obrecht,Alberto Venni in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
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Sharp Trace Estimates of Solutions to Kirchhoff and Euler-Bernoulli Equations
I. LASIECKA Department of Applied Mathematics, University of Virginia, Charlottesville, VA 22903, U.S.A.
R. TRIGGIANI Department of Applied Mathematics, University of Virginia, Charlottesville, VA 22903, U.S.A.
1. Introduction: A Wave Problem
Let Ω be an open bounded domain in Rn with smooth boundary Γ. Let be a second-order elliptic operator of order two with smooth, space variable coefficients. Consider the second - order hyperbolic equation in w(t,x):
(1.1) |
The following estimate on the tangential trace of (smooth) solutions of...
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Preface
- Table of Contents
- Contributors
- Conference Participants
- Abstract Linear Nonautonomous Parabolic Equations: A Survey
- On Some Classes of Singular Variational Inequalities
- Nonuniqueness in L∞: An Example
- Some Results on Abstract Evolution Equations of Hyperbolic Type
- Interpolation and Extrapolation Spaces and Parabolic Equations
- On the Diagonalization of Certain Operator Matrices Related to Volterra Equations
- Second Order Abstract Equations with Nonlinear Boundary Conditions: Applications to a von Karmàn System with Boundary Damping
- Linear Parabolic Differential Equations of Higher Order in Time
- Analytic and Gevrey Class Semigroups Generated by -A + iB, and Applications
- The Kompaneets Equation
- Multiplicative Perturbation of Resolvent Positive Operators
- Uniform Decay Rates for Semilinear Wave Equations with Nonlinear and Nonmonotone Boundary Feedback, without Geometric Conditions
- Sharp Trace Estimates of Solutions to Kirchhoff and Euler-Bernoulli Equations
- Boundary Values of Holomorphic Semigroups, H∞ Functional Calculi, and the Inhomogeneous Abstract Cauchy Problem
- Stability of Linear Evolutionary Systems with Applications to Viscoelasticity
- Generation of Analytic Semigroups by Variational Operators with L°° Coefficients
- Asynchronous Exponential Growth in Differential Equations with Homogeneous Nonlinearities
- Inversion of the Vector-Valued Laplace Transform in Lp(X)-Spaces
- Some Quasilinear Parabolic Problems in Applied Mathematics
- Index