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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....
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.
A biography of Gustav Mahler and his family. Describes his youth, his musical career, and his circle of Jewish friends. Pp. 212-558 relate the fate of members of his family and of his friends in the Holocaust.
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Winner of the Royal Society Winton Prize for Science Books 2012, the world's leading prize for popular science writing.
The architectures and mechanisms underlying language processing form one important part of the general structure of cognition. This book, written by leading experts in the field, brings together linguistic, psychological, and computational perspectives on some of the fundamental issues. Several general introductory chapters offer overviews on important psycholinguistic research frameworks and highlight both shared assumptions and controversial issues. Subsequent chapters explore syntactic and lexical mechanisms, the interaction of syntax and semantics in language understanding, and the implications for cognitive architecture.