Problems with potentials

  • Vladimir B. Vasil’ev


Here we consider again the equation
$$\left( {A{u_ + }} \right)\left( x \right) = f\left( x \right),x \in C_ + ^a$$
, to show how one can use Theorem 8.1.3 and what kind of boundary value problems correspond to this case. We assume \(\wp - s = - 1 + \delta ,\left| \delta \right| < 1/2\), æ is index of wave factorization of symbol \(A\left( \xi \right) \in C_a^\infty \).


Integral Equation Direct Product Type Operator Inverse Matrix Pseudodifferential Operator 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Vladimir B. Vasil’ev
    • 1
  1. 1.Department of Mathematical AnalysisNovgorod State UniversityNovgorodRussia

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