Ebook: Evolution Equations, Semigroups and Functional Analysis: In Memory of Brunello Terreni

Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

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Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savar?, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

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Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savar?, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi
Content:
Front Matter....Pages i-xii
?-Convergence for Infinite Dimensional Optimal Control Problems....Pages 1-25
A Degenerate Two-point Problem....Pages 27-37
Bounded Solutions for a Class of Quasi-linear Parabolic Problems with a Quadratic Gradient Term....Pages 39-48
Degenerate Evolution Systems Modeling the Cardiac Electric Field at Micro- and Macroscopic Level....Pages 49-78
Singular Limits for Nonlinear Hyperbolic Systems....Pages 79-96
Bounded Perturbations of Ornstein-Uhlenbeck Semigroups....Pages 97-114
Degenerate Integrodifferential Equations of Volterra Type in Banach Space....Pages 115-135
On a Class of Quasi Linear Equations in Infinite-dimensional Spaces....Pages 137-154
Uniform Attractors of Nonautonomous Dynamical Systems with Memory....Pages 155-178
On some Mathematical Aspects of the Ring Cavity Problem....Pages 179-195
Hadamard Well-posedness of Weak Solutions in Nonlinear Dynamic Elasticity-full von Karman Systems....Pages 197-216
Applications des sommes d’op?rateurs dans l’?tude du comportement singulier des solutions dans les probl?mes elliptiques....Pages 217-236
Some Identification Problems Related to Thermal Materials with Loss of Memory....Pages 237-262
On Generators of Noncommuting Semigroups: Sums, Interpolation, Regularity....Pages 263-277
Well-posedness for Nonautonomous Abstract Cauchy Problems....Pages 279-293
The Cauchy Problem for a Semilinear Heat Equation with Singular Initial Data....Pages 295-309
Well-posedness and Asymptotic Behaviour of Non-autonomous Linear Evolution Equations....Pages 311-338
Abstract Hyperbolic Equations in Non-reflexive Spaces....Pages 339-351
Min-Max Game Theory and Optimal Control with Indefinite Cost under a Singular Estimate for e At B in the Absence of Analyticity....Pages 353-379
Quasilinear Abstract Parabolic Evolution Equations with Applications....Pages 381-397

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Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savar?, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi
Content:
Front Matter....Pages i-xii
?-Convergence for Infinite Dimensional Optimal Control Problems....Pages 1-25
A Degenerate Two-point Problem....Pages 27-37
Bounded Solutions for a Class of Quasi-linear Parabolic Problems with a Quadratic Gradient Term....Pages 39-48
Degenerate Evolution Systems Modeling the Cardiac Electric Field at Micro- and Macroscopic Level....Pages 49-78
Singular Limits for Nonlinear Hyperbolic Systems....Pages 79-96
Bounded Perturbations of Ornstein-Uhlenbeck Semigroups....Pages 97-114
Degenerate Integrodifferential Equations of Volterra Type in Banach Space....Pages 115-135
On a Class of Quasi Linear Equations in Infinite-dimensional Spaces....Pages 137-154
Uniform Attractors of Nonautonomous Dynamical Systems with Memory....Pages 155-178
On some Mathematical Aspects of the Ring Cavity Problem....Pages 179-195
Hadamard Well-posedness of Weak Solutions in Nonlinear Dynamic Elasticity-full von Karman Systems....Pages 197-216
Applications des sommes d’op?rateurs dans l’?tude du comportement singulier des solutions dans les probl?mes elliptiques....Pages 217-236
Some Identification Problems Related to Thermal Materials with Loss of Memory....Pages 237-262
On Generators of Noncommuting Semigroups: Sums, Interpolation, Regularity....Pages 263-277
Well-posedness for Nonautonomous Abstract Cauchy Problems....Pages 279-293
The Cauchy Problem for a Semilinear Heat Equation with Singular Initial Data....Pages 295-309
Well-posedness and Asymptotic Behaviour of Non-autonomous Linear Evolution Equations....Pages 311-338
Abstract Hyperbolic Equations in Non-reflexive Spaces....Pages 339-351
Min-Max Game Theory and Optimal Control with Indefinite Cost under a Singular Estimate for e At B in the Absence of Analyticity....Pages 353-379
Quasilinear Abstract Parabolic Evolution Equations with Applications....Pages 381-397
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