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Abstract Parabolic Evolution Equations and their Applications (Hardcover, 2010 ed.)
Loot Price: R3,427
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Abstract Parabolic Evolution Equations and their Applications (Hardcover, 2010 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 18 - 22 working days
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This monograph is intended to present the fundamentals of the
theory of abstract parabolic evolution equations and to show how to
apply to various nonlinear dif- sion equations and systems arising
in science. The theory gives us a uni?ed and s- tematic treatment
for concrete nonlinear diffusion models. Three main approaches are
known to the abstract parabolic evolution equations, namely, the
semigroup methods, the variational methods, and the methods of
using operational equations. In order to keep the volume of the
monograph in reasonable length, we will focus on the semigroup
methods. For other two approaches, see the related references in
Bibliography. The semigroup methods, which go back to the invention
of the analytic se- groups in the middle of the last century, are
characterized by precise formulas representing the solutions of the
Cauchy problem for evolution equations. The ?tA analytic semigroup
e generated by a linear operator ?A provides directly a fundamental
solution to the Cauchy problem for an autonomous linear e- dU
lution equation, +AU =F(t), 0
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