Electronic Resource

Nonlinear partial differential equations with applications

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This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are mainly an introduction into the subject while some others form an advanced textbook.



The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.

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The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (…) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world.

(Mathematical Reviews)

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

E668

Penerbit

New York : Springer, NY., 2013

Deskripsi Fisik

xx, 476

Bahasa

English

ISBN/ISSN

9783034805131

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

Ed.2

Subjek

Matematika
Perbedaan dan Persamaan Fungsional

Info Detail Spesifik

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Pernyataan Tanggungjawab

Tomáš Roubíček

Versi lain/terkait

Lampiran Berkas

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