LEADER 03464nam a2200349Ii 4500 001 991003273069707536 006 m d 007 cr cn||||||||| 008 070806s2003 ne sb 001 0 eng d 020 $a9780444512888 020 $a0444512888 035 $ab13658840-39ule_inst 040 $aDip.to Matematica$beng 041 0 $aeng 082 04$a515.724$222 100 1 $aVrabie, Ioan I.$0151487 245 10$aC?-semigroups and applications$h[e-book] /$cIoan I. Vrabie 260 $aAmsterdam ;$aBoston :$bElsevier Science,$c2003 300 $axii, 373 p. ;$c25 cm 490 1 $aNorth-Holland mathematics studies,$x0304-0208 ;$v191 504 $aIncludes bibliographical references (p. 361-367) and index 520 $aThe book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find their place into a monograph till now, mainly because they are very new. So, the book, although containing the main parts of the classical theory of Co-semigroups, as the Hille-Yosida theory, includes also several very new results, as for instance those referring to various classes of semigroups such as equicontinuous, compact, differentiable, or analytic, as well as to some nonstandard types of partial differential equations, i.e. elliptic and parabolic systems with dynamic boundary conditions, and linear or semilinear differential equations with distributed (time, spatial) measures. Moreover, some finite-dimensional-like methods for certain semilinear pseudo-parabolic, or hyperbolic equations are also disscussed. Among the most interesting applications covered are not only the standard ones concerning the Laplace equation subject to either Dirichlet, or Neumann boundary conditions, or the Wave, or Klein-Gordon equations, but also those referring to the Maxwell equations, the equations of Linear Thermoelasticity, the equations of Linear Viscoelasticity, to list only a few. Moreover, each chapter contains a set of various problems, all of them completely solved and explained in a special section at the end of the book.

The book is primarily addressed to graduate students and researchers in the field, but it would be of interest for both physicists and engineers. It should be emphasised that it is almost self-contained, requiring only a basic course in Functional Analysis and Partial Differential Equations 533 $aElectronic reproduction.$bAmsterdam :$cElsevier Science & Technology,$d2007.$nMode of access: World Wide Web.$nSystem requirements: Web browser.$nTitle from title screen (viewed on Aug. 2, 2007).$nAccess may be restricted to users at subscribing institutions 650 0$aSemigroups of operators 710 2 $aScienceDirect (Online service) 856 40$3ScienceDirect$uhttps://www.sciencedirect.com/bookseries/north-holland-mathematics-studies/vol/191/suppl/C$zAn electronic book accessible through the World Wide Web; click for information 856 42$zPublisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy0614/2003043892-d.html 907 $a.b13658840$b03-03-22$c29-01-08 912 $a991003273069707536 996 $aC?-semigroups and applications$91092446 997 $aUNISALENTO 998 $ale013$b29-01-08$cm$d@ $e-$feng$gne $h0$i0