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Journal of Mathematical Sciences

, Volume 174, Issue 2, pp 136–158 | Cite as

A nonlocal boundary-value problem for partial differential equations with constant coefficients belonging to smooth curves

  • I. Ya. Savka
Article
  • 21 Downloads

We have investigated a nonlocal boundary-value problem in a cylindrical domain for partial differential equations with constant coefficients belonging to smooth curves. The solvability of this problem is connected with the problem of small denominators on smooth manifolds, which appear in constructing the solution. We have obtained the conditions of uniqueness and existence of solution of this problem. Finally, we have established the lower metric estimates of small denominators on smooth curves.

Keywords

Manifold Partial Differential Equation Lebesgue Measure Smooth Curve Constant Coefficient 
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.

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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • I. Ya. Savka
    • 1
  1. 1.Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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