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Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

In Honour of Prof. Gianni Gilardi

  • Pierluigi Colli
  • Angelo Favini
  • Elisabetta Rocca
  • Giulio Schimperna
  • Jürgen Sprekels

Part of the Springer INdAM Series book series (SINDAMS, volume 22)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Goro Akagi, Ulisse Stefanelli
    Pages 31-53
  3. Mohammed Al Horani, Mauro Fabrizio, Angelo Favini, Hiroki Tanabe
    Pages 55-75
  4. Elena Bonetti, Mauro Fabrizio, Michel Frémond
    Pages 77-95
  5. Nobuyuki Kenmochi, Ken Shirakawa, Noriaki Yamazaki
    Pages 281-304
  6. Danilo Percivale, Franco Tomarelli
    Pages 431-468
  7. Augusto Visintin
    Pages 543-571

About this book

Introduction

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.

Keywords

Partial differential equations Initial-boundary value problems Well-posedness and regularity of solutions Optimal control problems Phase field models

Editors and affiliations

  • Pierluigi Colli
    • 1
  • Angelo Favini
    • 2
  • Elisabetta Rocca
    • 3
  • Giulio Schimperna
    • 4
  • Jürgen Sprekels
    • 5
  1. 1.Dipartimento di MatematicaUniversità di PaviaPaviaItaly
  2. 2.Dipartimento di MatematicaUniversità di Bologna BolognaItaly
  3. 3.Dipartimento di MatematicaUniversità di PaviaPaviaItaly
  4. 4.Dipartimento di MatematicaUniversità di PaviaPaviaItaly
  5. 5.für Angewandte Analysis und Stochastik (WIAS)Weierstraß-Institut BerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-64489-9
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-64488-2
  • Online ISBN 978-3-319-64489-9
  • Series Print ISSN 2281-518X
  • Series Online ISSN 2281-5198
  • Buy this book on publisher's site