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This book originates from the session "Harmonic Analysis and
Partial Differential Equations" held at the 12th ISAAC Congress in
Aveiro, and provides a quick overview over recent advances in
partial differential equations with a particular focus on the
interplay between tools from harmonic analysis, functional
inequalities and variational characterisations of solutions to
particular non-linear PDEs. It can serve as a useful source of
information to mathematicians, scientists and engineers. The volume
contains contributions of authors from a variety of countries on a
wide range of active research areas covering different aspects of
partial differential equations interacting with harmonic analysis
and provides a state-of-the-art overview over ongoing research in
the field. It shows original research in full detail allowing
researchers as well as students to grasp new aspects and broaden
their understanding of the area.
This book originates from the session "Harmonic Analysis and
Partial Differential Equations" held at the 12th ISAAC Congress in
Aveiro, and provides a quick overview over recent advances in
partial differential equations with a particular focus on the
interplay between tools from harmonic analysis, functional
inequalities and variational characterisations of solutions to
particular non-linear PDEs. It can serve as a useful source of
information to mathematicians, scientists and engineers. The volume
contains contributions of authors from a variety of countries on a
wide range of active research areas covering different aspects of
partial differential equations interacting with harmonic analysis
and provides a state-of-the-art overview over ongoing research in
the field. It shows original research in full detail allowing
researchers as well as students to grasp new aspects and broaden
their understanding of the area.
Yoshihiro Shibata has made many significant contributions to the
area of mathematical fluid mechanics over the course of his
illustrious career, including landmark work on the Navier-Stokes
equations. The papers collected here - on the occasion of his 70th
birthday - are written by world-renowned researchers and celebrate
his decades of outstanding achievements.
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 Vaxjoe, 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.
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