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Nonlinear Diffusion Equations and their Equilibrium States, No. 3 (Progress in Nonlinear Differential Equations and Their Applications)

Nonlinear Diffusion Equations and their Equilibrium States, No. 3 (Progress in Nonlinear Differential Equations and Their Applications)

Nonlinear Diffusion Equations and their Equilibrium States, No. 3 (Progress in
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Nonlinear Diffusion Equations and their Equilibrium States, No. 3 (Progress in Nonlinear Differential Equations and Their Applications) Hardback - 1991

by Lloyd, N.G

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Birkh, 1991-06-01. 1992. hardcover. Used: Good. 6.14x1.25x9.21. Buy with confidence. Excellent Customer Service & Return policy.
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Details

  • Title Nonlinear Diffusion Equations and their Equilibrium States, No. 3 (Progress in Nonlinear Differential Equations and Their Applications)
  • Author Lloyd, N.G
  • Binding Hardback
  • Edition 1992
  • Condition Used: Good
  • Pages 572
  • Volumes 1
  • Language ENG
  • Publisher Birkh, Boston/Basel/Berlin
  • Publication date 1991-06-01
  • Features Maps
  • Bookseller's Inventory # SONG0817635319
  • ISBN 9780817635312 / 0817635319
  • Weight 2.19 lbs (0.99 kg)
  • Dimensions 9.21 x 6.14 x 1.25 in (23.39 x 15.60 x 3.18 cm)
  • Size 6.14x1.25x9.21
  • Category Mathematics
  • Library of Congress subjects Diffusion - Mathematical models - Congresses, Differential equations, Partial - Congresses
  • Library of Congress Catalogue Number 91-44360
  • Dewey Decimal Code 515.352
  • Quantity available 1

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From the publisher

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math- ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter- est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = cp(U) + f(u). Here denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn- damental questions concern the existence, uniqueness and regularity of so- lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.

First line

In this paper we prove the existence of nonglobal solutions to the following semilinear parabolic Cauchy problem:.

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