Modern Aspects of the Theory of Partial Differential Equations

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The book provides a quick overview of a wide range of active research areas in partial differential equations such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches. It will serve as a useful source of information to mathematicians, scientists and engineers.

Contributors:

Y.P. Apakov

G. Avalos

L. Bociu

L. Boutet de Monvel

F. Colombo

G. Fragnelli

M. Ghergu

D. Guidetti

U.U. Hrusheuski

T.Sh. Kalmenov

I.U. Khaydarov

S. Khodjiev

V. Kokilashvili

C. Lebiedzik

P. Loreti

F. Maci�

D. Mugnai

M. Reissig

M.S. Salakhitdinov

B.-W. Schulze

D. Sforza

L. Simon

D. Suragan

D. Toundykov

R. Triggiani

A.K. Urinov

O.S. Zikirov

J.-P. Zolésio

Author(s): L. Boutet de Monvel (auth.), Michael Ruzhansky, Jens Wirth (eds.)
Series: Operator Theory: Advances and Applications 216
Edition: 1st Edition.
Publisher: Springer Basel
Year: 2011

Language: English
Pages: 376


Content:
Front Matter....Pages i-vii
Toeplitz Operators and Asymptotic Equivariant Index....Pages 1-16
Boundary Value Problems of Analytic and Harmonic Functions in a Domain with Piecewise Smooth Boundary in the Frame of Variable Exponent Lebesgue Spaces....Pages 17-39
Edge-degenerate Operators at Conical Exits to Infinity....Pages 41-64
On a Method for Solving Boundary Problems for a Third-order Equation with Multiple Characteristics....Pages 65-78
On Stability and Trace Regularity of Solutions to Reissner-Mindlin-Timoshenko Equations....Pages 79-91
Linearization of a Coupled System of Nonlinear Elasticity and Viscous Fluid....Pages 93-120
Some Results on the Identification of Memory Kernels....Pages 121-138
A k-uniform Maximum Principle When 0 is an Eigenvalue....Pages 139-151
Steady-state Solutions for a General Brusselator System....Pages 153-166
Ordinary Differential Equations with Distributions as Coefficients in the Sense of the Theory of New Generalized Functions....Pages 167-185
A Boundary Condition and Spectral Problems for the Newton Potential....Pages 187-210
An Extremum Principle for a Class of Hyperbolic Type Equations and for Operators Connected with Them....Pages 211-231
Numerical Investigations of Tangled Flows in a Channel of Constant and Variable Section at Presence of Recirculation Zone....Pages 233-241
The Optimal Interior Regularity for the Critical Case of a Clamped Thermoelastic System with Point Control Revisited....Pages 243-259
Multidimensional Controllability Problems with Memory....Pages 261-274
The Schrödinger Flow in a Compact Manifold: High-frequency Dynamics and Dispersion....Pages 275-289
Optimality of the Asymptotic Behavior of the Energy for Wave Models....Pages 291-315
On Singular Systems of Parabolic Functional Equations....Pages 317-330
Boundary-value Problems for a Class of Third-order Composite Type Equations....Pages 331-341
Shape-morphic Metric, Geodesic Stability....Pages 343-367