Pseudo-differential operators with singular symbols (ΨDOSS)

  • Sabir Umarov
Part of the Developments in Mathematics book series (DEVM, volume 41)


We begin Chapter 2 with simple examples of initial and boundary value problems, solution operators of which have singularities of one or another type in the dual variable. The presence of a singularity often causes a failure of well posedness of the problem in the sense of Hadamard. Let A be a linear differential operator mapping a function space X into another function space F.


Pseudodifferential Operators Singular Symbols Solution Operator Hadamard Hypersingular Integrals 
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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Sabir Umarov
    • 1
  1. 1.Department of MathematicsUniversity of New HavenWest HavenUSA

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