Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs : In Honour of Prof. Gianni Gilardi / edited by Pierluigi Colli, Angelo Favini, Elisabetta Rocca, Giulio Schimperna, Jürgen Sprekels.

Format:

Book

Contributor:

Colli, P. (Pierluigi), 1958- Editor.

Favini, A. (Angelo), 1946- Editor.

Rocca, Elisabetta., Editor.

Schimperna, Giulio., Editor.

Sprekels, Jürgen., Editor.

Series:

Springer INdAM Series, 2281-518X ; 22

Language:

English

Subjects (All):

Differential equations, Partial.

Calculus of variations.

Mathematical physics.

Partial Differential Equations.

Calculus of Variations and Optimal Control; Optimization.

Mathematical Physics.

Mathematical Applications in the Physical Sciences.

Local Subjects:

Partial Differential Equations.

Calculus of Variations and Optimal Control; Optimization.

Mathematical Physics.

Mathematical Applications in the Physical Sciences.

Physical Description:

1 online resource (XII, 571 p. 1 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.

Contents:

1 Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole

2 Nondecreasing solutions to doubly nonlinear equations

3 Identification problems for degenerate integro-differential equations

4 A phase transition model describing auxetic materials

5 Global well-posedness for a phase transition model with irreversible evolution and acceleration forces

6 Perimeter symmetrization of some dynamic and stationary equations involving the Monge-Ampere operator

7 Optimal boundary control of a nonstandard Cahn–Hilliard system with dynamic boundary condition and double obstacle inclusions

8 Nontrivial solutions of quasilinear elliptic equatons with natural growth term

9 On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities

10 A boundary control problem for the equation and dynamic boundary condition of Cahn–Hilliard type

11 New class of doubly nonlinear evolution equations governed by time-dependent subdifferentials

12 Boundedness of solutions to a degenerate diffusion equation

13 Optimal a priori error estimates of parabolic optimal control problems with a moving point control

14 A note on the feedback stabilization of a Cahn–Hilliard type system with a singular logarithmic potential

15 Mathematical analysis of a parabolic-elliptic model for brain lactate kinetics

16 Weak formulation for singular diffusion equation with dynamic boundary condition

17 Smooth and broken minimizers of some free discontinuity problems

18 Stability results for abstract evolution equations with intermittent time-delay feedback

19 From visco-energetic to energetic and balanced viscosity solutions of rate-independent systems

20 A duality approach in some boundary value problems

21 On the structural properties of nonlinear flows.

Notes:

Includes bibliographical references.

ISBN:

3-319-64489-0