New Tools for Nonlinear PDEs and Application

  • Marcello D'Abbicco
  • Marcelo Rempel Ebert
  • Vladimir Georgiev
  • Tohru Ozawa

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Ilias Chenn, I. M. Sigal
    Pages 1-47
  3. Marcelo Rempel Ebert, Linniker Monteiro Lourenço
    Pages 153-177
  4. Luigi Forcella, Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa
    Pages 179-202
  5. Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
    Pages 217-240
  6. Sandra Lucente
    Pages 241-261
  7. Maximilian Reich, Michael Reissig
    Pages 371-390

About this book


This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions "Recent progress in evolution equations" and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Växjö, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs.


nonlinear partial differential equations hyperbolic equations evolution equations existence problems qualitative properties of solutions asymptotic profile of solutions diffusion phenomenon fractional derivatives small data solutions blow-up behavior test function method

Editors and affiliations

  • Marcello D'Abbicco
    • 1
  • Marcelo Rempel Ebert
    • 2
  • Vladimir Georgiev
    • 3
  • Tohru Ozawa
    • 4
  1. 1.MathematicsUniversity of BariBariItaly
  2. 2.Department of Computing and MathematicsUniversity of São PauloRibeirão PretoBrazil
  3. 3.Department of MathematicsUniversity of PisaPisaItaly
  4. 4.Department of Applied PhysicsWaseda UniversityTokyoJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-10936-3
  • Online ISBN 978-3-030-10937-0
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site