Layer Potential Techniques in Spectral Analysis
Habib Ammari · Hyeonbae Kang · Hyundae Lee
jan. de 2009 · Mathematical Surveys and Monographs Livro 153 · American Mathematical Soc.
E-book
202
Páginas
reportAs notas e avaliações não são verificadas Saiba mais
Sobre este e-book
Since the early part of the twentieth century, the use of integral equations has developed into a range of tools for the study of partial differential equations. This includes the use of single- and double-layer potentials to treat classical boundary value problems. The aim of this book is to give a self-contained presentation of an asymptotic theory for eigenvalue problems using layer potential techniques with applications in the fields of inverse problems, band gap structures, and optimal design, in particular the optimal design of photonic and phononic crystals. Throughout this book, it is shown how powerful the layer potentials techniques are for solving not only boundary value problems but also eigenvalue problems if they are combined with the elegant theory of Gohberg and Sigal on meromorphic operator-valued functions. The general approach in this book is developed in detail for eigenvalue problems for the Laplacian and the Lame system in the following two situations: one under variation of domains or boundary conditions and the other due to the presence of inclusions. The book will be of interest to researchers and graduate students working in the fields of partial differential equations, integral equations, and inverse problems. Researchers in engineering and physics may also find this book helpful.
Avaliar este e-book
Diga o que você achou
Informações de leitura
Smartphones e tablets
Instale o app Google Play Livros para Android e iPad/iPhone. Ele sincroniza automaticamente com sua conta e permite ler on-line ou off-line, o que você preferir.
Laptops e computadores
Você pode ouvir audiolivros comprados no Google Play usando o navegador da Web do seu computador.
eReaders e outros dispositivos
Para ler em dispositivos de e-ink como os e-readers Kobo, é necessário fazer o download e transferir um arquivo para o aparelho. Siga as instruções detalhadas da Central de Ajuda se quiser transferir arquivos para os e-readers compatíveis.
