Equations of Parabolic Type

  • O. A. Ladyzhenskaya
Part of the Applied Mathematical Sciences book series (AMS, volume 49)


In this chapter we shall consider second-order parabolic equations and prove the unique solvability of the initial-boundary value problem in the domains Q T =, (x, t): x ∈ Ω,t ∈ (0, T) for the first, second, and third boundary conditions. We shall assume that the domain Ω is bounded, although all the results, except for the representation of solutions by Fourier series, will be valid for an arbitrary unbounded domain Ω. Moreover, the methods of solution given for bounded Ω are applicable to unbounded Ω (in particular, for Ω = R n ),but need minor modification which we shall point out.


Generalize Solution Parabolic Equation Uniqueness Theorem Unbounded Domain Integral Identity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • O. A. Ladyzhenskaya
    • 1
  1. 1.Mathematical InstituteLeningrad D-11USSR

Personalised recommendations