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The emphasis throughout the present volume is on the practical
application of theoretical mathematical models helping to unravel
the underlying mechanisms involved in processes from mathematical
physics and biosciences. It has been conceived as a unique
collection of abstract methods dealing especially with nonlinear
partial differential equations (either stationary or evolutionary)
that are applied to understand concrete processes involving some
important applications related to phenomena such as: boundary layer
phenomena for viscous fluids, population dynamics,, dead core
phenomena, etc. It addresses researchers and post-graduate students
working at the interplay between mathematics and other fields of
science and technology and is a comprehensive introduction to the
theory of nonlinear partial differential equations and its main
principles also presents their real-life applications in various
contexts: mathematical physics, chemistry, mathematical biology,
and population genetics. Based on the authors' original work, this
volume provides an overview of the field, with examples suitable
for researchers but also for graduate students entering research.
The method of presentation appeals to readers with diverse
backgrounds in partial differential equations and functional
analysis. Each chapter includes detailed heuristic arguments,
providing thorough motivation for the material developed later in
the text. The content demonstrates in a firm way that partial
differential equations can be used to address a large variety of
phenomena occurring in and influencing our daily lives. The
extensive reference list and index make this book a valuable
resource for researchers working in a variety of fields and who are
interested in phenomena modeled by nonlinear partial differential
equations.
In this monograph, the authors present some powerful methods for
dealing with singularities in elliptic and parabolic partial
differential inequalities. Here, the authors take the unique
approach of investigating differential inequalities rather than
equations, the reason being that the simplest way to study an
equation is often to study a corresponding inequality; for example,
using sub and superharmonic functions to study harmonic functions.
Another unusual feature of the present book is that it is based on
integral representation formulae and nonlinear potentials, which
have not been widely investigated so far. This approach can also be
used to tackle higher order differential equations. The book will
appeal to graduate students interested in analysis, researchers in
pure and applied mathematics, and engineers who work with partial
differential equations. Readers will require only a basic knowledge
of functional analysis, measure theory and Sobolev spaces.
The emphasis throughout the present volume is on the practical
application of theoretical mathematical models helping to unravel
the underlying mechanisms involved in processes from mathematical
physics and biosciences. It has been conceived as a unique
collection of abstract methods dealing especially with nonlinear
partial differential equations (either stationary or evolutionary)
that are applied to understand concrete processes involving some
important applications related to phenomena such as: boundary layer
phenomena for viscous fluids, population dynamics,, dead core
phenomena, etc. It addresses researchers and post-graduate students
working at the interplay between mathematics and other fields of
science and technology and is a comprehensive introduction to the
theory of nonlinear partial differential equations and its main
principles also presents their real-life applications in various
contexts: mathematical physics, chemistry, mathematical biology,
and population genetics. Based on the authors' original work, this
volume provides an overview of the field, with examples suitable
for researchers but also for graduate students entering research.
The method of presentation appeals to readers with diverse
backgrounds in partial differential equations and functional
analysis. Each chapter includes detailed heuristic arguments,
providing thorough motivation for the material developed later in
the text. The content demonstrates in a firm way that partial
differential equations can be used to address a large variety of
phenomena occurring in and influencing our daily lives. The
extensive reference list and index make this book a valuable
resource for researchers working in a variety of fields and who are
interested in phenomena modeled by nonlinear partial differential
equations.
This brief research monograph uses modern mathematical methods to
investigate partial differential equations with nonlinear
convolution terms, enabling readers to understand the concept of a
solution and its asymptotic behavior. In their full generality,
these inequalities display a non-local structure. Classical
methods, such as maximum principle or sub- and super-solution
methods, do not apply to this context. This work discusses partial
differential inequalities (instead of differential equations) for
which there is no variational setting. This current work brings
forward other methods that prove to be useful in understanding the
concept of a solution and its asymptotic behavior related to
partial differential inequalities with nonlinear convolution terms.
It promotes and illustrates the use of a priori estimates, Harnack
inequalities, and integral representation of solutions. One of the
first monographs on this rapidly expanding field, the present work
appeals to graduate and postgraduate students as well as to
researchers in the field of partial differential equations and
nonlinear analysis.
Das Umweltstrafrecht ist ein Teilgebiet des Wirtschaftsstrafrechts
und dient dem Schutz der naturlichen Lebensgrundlagen. Dabei ist
der Schutz einzelner Umweltmedien wie Boden, Luft und Wasser
zunehmend Gegenstand strafrechtlicher Verfolgung. Das Lehrbuch
bietet eine Einfuhrung in die Grundlagen des Umweltstrafrechts. Die
Autoren liefern einen Uberblick uber die aktuelle Rechtsprechung
und illustrieren das Umweltstrafrecht anhand zahlreicher
Beispielfalle.
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