@book{Krainer2005,
  author    = {Krainer, Thomas},
  title     = {Elliptic boundary problems on manifolds with polycylindrical ends},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {32 S.},
  year      = {2005},
  language  = {en}
}
@unpublished{Krainer2005,
  author    = {Krainer, Thomas},
  title     = {Elliptic boundary problems on manifolds with polycylindrical ends},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29912},
  year      = {2005},
  abstract  = {We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal with boundary value problems for cusp differential operators. We introduce an adapted Boutet de Monvel's calculus of pseudodifferential boundary value problems, and construct parametrices for elliptic cusp operators within this calculus. Fredholm solvability and elliptic regularity up to the boundary and up to infinity for boundary value problems on manifolds with polycylindrical ends follows.},
  language  = {en}
}
@phdthesis{Krainer2009,
  author    = {Krainer, Thomas},
  title     = {Elliptic boundary value problems on manifolds with corners},
  pages     = {VI, 269 S.},
  year      = {2009},
  language  = {en}
}
@book{GilKrainerMendoza2004,
  author    = {Gil, J. B. and Krainer, Thomas and Mendoza, A.},
  title     = {Geometry and Spectra of closed extensions of elliptic cone operators},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {47 S.},
  year      = {2004},
  language  = {en}
}
@unpublished{GilKrainerMendoza2004,
  author    = {Gil, Juan B. and Krainer, Thomas and Mendoza, Gerardo A.},
  title     = {Geometry and spectra of closed extensions of elliptic cone operators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26815},
  year      = {2004},
  abstract  = {We study the geometry of the set of closed extensions of index 0 of an elliptic cone operator and its model operator in connection with the spectra of the extensions, and give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.},
  language  = {en}
}
@book{KrainerSchulze2000,
  author    = {Krainer, Thomas and Schulze, Bert-Wolfgang},
  title     = {Long-time asymptotics with geometric singularities in the spatial variables},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {21 S.},
  year      = {2000},
  language  = {en}
}
@unpublished{KrainerSchulze2000,
  author    = {Krainer, Thomas and Schulze, Bert-Wolfgang},
  title     = {Long-time asymptotics with geometric singularities in the spatial variables},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25824},
  year      = {2000},
  abstract  = {Content: Introduction 1 Anisotropic operators in a cylinder with a conical base 1.1 Manifolds with conical singularities and opertors of Fuchs type 1.2 Typical operators and symbol structures 2 Weighted wedge Sobolev spaces and edge asymptotics 2.1 Discrete edge asymptotics 2.2 Continuos edge asymptotics with discrete limit at infinity 2.3 Calculus with operator valued symbols 3 Corner asymptotics at infinity 3.1 The structure of singular functions 3.2 Operators with trace and potential conditions 3.3 Asymptotics and (anisotropic) elliptic regularity},
  language  = {en}
}
@book{GilKrainerMendoza2006,
  author    = {Gil, J. B. and Krainer, Thomas and Mendoza, Gerardo A.},
  title     = {On rays of minimal growth for elliptic cone operators},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {17 S.},
  year      = {2006},
  language  = {en}
}
@unpublished{GilKrainerMendoza2006,
  author    = {Gil, Juan B. and Krainer, Thomas and Mendoza, Gerardo A.},
  title     = {On rays of minimal growth for elliptic cone operators},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30064},
  year      = {2006},
  abstract  = {We present an overview of some of our recent results on the existence of rays of minimal growth for elliptic cone operators and two new results concerning the necessity of certain conditions for the existence of such rays.},
  language  = {en}
}
@unpublished{Krainer2002,
  author    = {Krainer, Thomas},
  title     = {On the calculus of pseudodifferential operators with an anisotropic analytic parameter},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26200},
  year      = {2002},
  abstract  = {We introduce the Volterra calculus of pseudodifferential operators with an anisotropic analytic parameter based on "twisted" operator-valued Volterra symbols. We establish the properties of the symbolic and operational calculi, and we give and make use of explicit oscillatory integral formulas on the symbolic side. In particular, we investigate the kernel cut-off operator via direct oscillatory integral techniques purely on symbolic level. We discuss the notion of parabolic for the calculus of Volterra operators, and construct Volterra parametrices for parabolic operators within the calculus.},
  language  = {en}
}