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4 edition of Global classical solutions for nonlinear evolution equations found in the catalog.

Global classical solutions for nonlinear evolution equations

Ta-chК»ien Li

Global classical solutions for nonlinear evolution equations

by Ta-chК»ien Li

  • 132 Want to read
  • 4 Currently reading

Published by Longman Scientific & Technical, Wiley in Harlow, Essex, England, New York .
Written in English

    Subjects:
  • Cauchy problem -- Numerical solutions.,
  • Evolution equations, Nonlinear -- Numerical solutions.

  • Edition Notes

    Includes bibliographical references (p. [198]-209).

    StatementLi Ta-Tsien and Chen Yunmei.
    SeriesPitman monographs and surveys in pure and applied mathematics -- 45
    ContributionsChen, Yunmei.
    Classifications
    LC ClassificationsQA377 .L48 1991
    The Physical Object
    Pagination209 p. :
    Number of Pages209
    ID Numbers
    Open LibraryOL20721844M
    ISBN 100582055881

    Semilinear wave equations, ICM proceedings, Seoul Korea August , ICM14 ; Large global solutions for energy supercritical nonlinear wave equations on R^{3+1} with Joachim Krieger, preprint Profiles for the radial focusing 4d energy-critical wave equation . A local classical solution is a function u∈C [0,ε)×[0,1],R ∩C1,2 (0,ε)×[0,1],R, for some ε>0, which satisfies (1). The solution is called global if we can choose ε= ∞. A T-periodic solution is a global solution which is T-periodic in t∈R+. Considering the fact that such an equation stems from the desire to model a real-world.

    No.1 Besov spaces and self-similar solutions for nonlinear evolution equations 33 is the fundamental solution of the heat operator ∂ t − ∆ in R + × R n. By H¨ ormander–. Evolution of the Weyl function and solution of the initial-boundary value problem in a semi-strip are derived for many important nonlinear equations. Some uniqueness and global existence results are also proved in detail using evolution formulas. The reading of the book requires only some basic knowledge of linear algebra, calculus and operator.

      The research methods for solving nonlinear evolution equations deal with the inverse scattering transformation, the Darboux transformation, the bilinear method and multilinear method, the classical and nonclassical Lie group approaches, the Clarkson-Kruskal direct method, the deformation mapping method, the truncated Painlevé expansion, the Author: Weiguo Rui, Wen-Xiu Ma, Chaudry Masood Khalique, Zuo-nong Zhu.   Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time Edition: 1.


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Global classical solutions for nonlinear evolution equations by Ta-chК»ien Li Download PDF EPUB FB2

ISBN / This monograph is devoted to the global existence and the lifespan of classical solutions to the Cauchy problem with small initial data for nonlinear heat equations, nonlinear wave equations and nonlinear Schrodinger equations.

Global classical solutions for nonlinear evolution equations. [Daqian Li; Yunmei Chen] -- This monograph is devoted to the global existence and the lifespan of classical solutions to the Cauchy problem with small initial data for nonlinear heat equations, nonlinear wave equations and.

This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrodinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed. New techniques and results are described on global existence and properties of solutions with large Cauchy by: Get this from a library.

Global classical solutions for nonlinear evolution equations. [Li Ta-Tsien; Chen Yun-Mei]. This volume offers a comprehensive survey of the theory of nonlinear wave equations, including the classical local existence theorem, the global existence in the supercritical case, the finite time blow-up and the lifespan estimate in the critical case, and the global existence under the null condition in two and three space dimensions.

Global Existence of Classical Solutions for a Class Nonlinear Parabolic Equations This example and our main result we can consider as counter - example of the well known theory. Our new nice result is due to our new integral representation. This approach is used for hyperbolic equations in.

Nonlinear Evolution Equations - Global Behavior of Solutions. Authors: Haraux, Alain More on asymptotic behavior for solutions of the nonlinear dissipative forced wave equation *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership Brand: Springer-Verlag Berlin Heidelberg. Nonlinear Evolution Equations — Global Behavior of Solutions.

Authors; Alain Haraux; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook. USD Instant download; More on asymptotic behavior for solutions of the nonlinear dissipative forced wave equation. Alain. Li T-T and Chen Y M Global Classical Solutions for Nonlinear Evolution Equations (Pitman Monographs and Surveys in Pure and Applied Mathematics vol 45) (Harlow: Longman Scientific & Technical) MR MR (93g)Cited by: Nonlinear dispersive equations: local and global analysis Terence Tao.

Department of Mathematics, UCLA, Los Angeles, CA E-mail address: [email protected] Mathematics Subject Classification. Primary 35Q53, 35Q55, 35L15 The author is partly supported by a grant from the Packard foundation.

This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations.

The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data.

To this end, the equation, arising in the context of Damage Mechanics, is reformulated as a mixed form of two different types of doubly nonlinear evolution equations. Global (in time) solutions to. Blow-Up of Solutions of Nonlinear Evolution Equations.

Publisher Summary. with initial condition u(x,0) = φ(x), (x ∈ ω), where u = u(x,t) is either a scalar or vector function and ω is a domain in R N. If ω ≠ R N, one also prescribes boundary conditions on ∂ω for t> by: 2. The classical examples provide the nonlinear Boltzmann equation.

Investigation of the long-time behavior of the solutions for the Boltzmann equation gives an approach to the nonlinear fluid dynamic equations. From the viewpoint of dynamical systems, the fluid dynamic equations arise in the theory as a tool.

Theory of Classical Gaussian Observer. A Sufficient Condition for the Uniform Convergence of Truncated Cardinal Functions Whittaker Inside the Interval. Soliton-Like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method.

Twin Prime Number Theorem. Fellows vi. Auxiliary Memberships Size: 5MB. Nonlinear nonlocal parabolic equations modeling the evolution of density of mutually interacting particles are considered.

The inertial type nonlinearity is quadratic and nonlocal while the diffusive term, also nonlocal, is anomalous and fractal, i.e., represented by Cited by: This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations.

The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined Author: Reinhard Racke. Global existence of small solutions to a class of nonlinear evolution equations Proof of step 2.

When applying the classical energy estimate procedure for the higher derivatives to the system (). we only need to consider carefully some terms since the others are dealt with by standard by:   Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science.

This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques.

These include the semigroup method, the compactness and monotone operator. () Global classical solutions to the 3D Navier–Stokes–Korteweg equations with small initial energy.

Analysis and Applications() Global stability of combination of viscous contact wave with rarefaction wave for compressible Navier–Stokes equations with Cited by:. Nonlinear Evolution Equation covers the proceedings of the Symposium by the same title, conducted by the Mathematics Research Center at the University of Wisconsin, Madison on OctoberThis book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws and Book Edition: 1.In this paper we prove the global existence and uniqueness of classical solution to the Boltzmann equation with external force near a stationary solution for hard potentials.

The optimal time decay to the stationary solution is also by: 4.Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science.

This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques.

These include the semig.