Superlinear Parabolic Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Superlinear Parabolic Problems write by Prof. Dr. Pavol Quittner. This book was released on 2019-06-13. Superlinear Parabolic Problems available in PDF, EPUB and Kindle. This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.
Superlinear Parabolic Problems
Superlinear Parabolic Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Superlinear Parabolic Problems write by Pavol Quittner. This book was released on 2007-12-16. Superlinear Parabolic Problems available in PDF, EPUB and Kindle. This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.
Global Solutions for Superlinear Parabolic Equations Involving the Biharmonic Operator for Initial Data with Optimal Slow Decay
Global Solutions for Superlinear Parabolic Equations Involving the Biharmonic Operator for Initial Data with Optimal Slow Decay - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Solutions for Superlinear Parabolic Equations Involving the Biharmonic Operator for Initial Data with Optimal Slow Decay write by Filippo Gazzola. This book was released on 2006. Global Solutions for Superlinear Parabolic Equations Involving the Biharmonic Operator for Initial Data with Optimal Slow Decay available in PDF, EPUB and Kindle.
Nonlinear Elliptic and Parabolic Problems
Nonlinear Elliptic and Parabolic Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Elliptic and Parabolic Problems write by Michel Chipot. This book was released on 2006-02-09. Nonlinear Elliptic and Parabolic Problems available in PDF, EPUB and Kindle. Celebrates the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Containing 32 contributions, this volume covers a range of nonlinear elliptic and parabolic equations, with applications to natural sciences and engineering.
Linear and Quasilinear Parabolic Problems
Linear and Quasilinear Parabolic Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear and Quasilinear Parabolic Problems write by Herbert Amann. This book was released on 1995-03-27. Linear and Quasilinear Parabolic Problems available in PDF, EPUB and Kindle. This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions. The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolevskii-Tanabe results. It also includes recent results for equations possessing constant interpolation spaces. In addition, systematic presentations of the theory of maximal regularity in spaces of continuous and Hölder continuous functions, and in Lebesgue spaces, are given. It includes related recent theorems in the field of harmonic analysis in Banach spaces and on operators possessing bounded imaginary powers. Lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results.
