Hermann Sohr

Overview

Best Publications

• Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

  Yoshikazu Giga;Hermann Sohr

  677
  Citations

• A new approach to the Helmholtz decomposition and the Neumann problem in Lq-spaces for bounded and exterior domains

  Christian G. Simader;Hermann Sohr

  293
  Citations

• On the equations rot v=g and div u=f with zero boundary conditions

  Unknown

  282
  Citations

• Generalized resolvent estimates for the Stokes system in bounded and unbounded domains

  Reinhard Farwig;Hermann Sohr

  261
  Citations

• An Lq-approach to Stokes and Navier-Stokes equations in general domains

  Reinhard Farwig;Hideo Kozono;Hermann Sohr

  220
  Citations

• On operators with bounded imaginary powers in banach spaces

  Jan Prüss;Hermann Sohr

  208
  Citations

• On the regularity of the pressure of weak solutions of Navier-Stokes equations

  Hermann Sohr;Wolf von Wahl

  171
  Citations

• On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains

  Tetsuro Miyakawa;Hermann Sohr

  171
  Citations

• On the semigroup of the Stokes operator for exterior domains inL q -spaces

  Wolfgang Borchers;Hermann Sohr

  169
  Citations

• Weighted Lq-theory for the Stokes resolvent in exterior domains

  Reinhard Farwig;Hermann Sohr

  151
  Citations

• Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes

  Hermann Sohr

  144
  Citations

• On the stokes problem in Lipschitz domains

  G. P. Galdi;C. G. Simader;H. Sohr

  133
  Citations

• A regularity class for the Navier-Stokes equations in Lorentz spaces

  Hermann Sohr

  128
  Citations

• REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

  Hideo Kozono;Hermann Sohr

  121
  Citations

• Imaginary powers of elliptic second order differential operators in $L\sp p$-spaces

  Jan Prüss;Hermann Sohr

  118
  Citations

• Existence and Uniqueness of Time-Periodic Physically Reasonable Navier-Stokes Flow Past a Body

  Giovanni P. Galdi;Hermann Sohr

  114
  Citations

• A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in W −1/q,q

  G. P. Galdi;C. G. Simader;H. Sohr

  114
  Citations

• A New Class of Weak Solutions of the Navier–Stokes Equations with Nonhomogeneous Data

  Reinhard Farwig;Giovanni P. Galdi;Hermann Sohr

  108
  Citations

• Regularity criterion on weak solutions to the navier-stokes equations

  Hideo Kozono;Hermann Sohr

  90
  Citations

• HELMHOLTZ DECOMPOSITION AND STOKES RESOLVENT SYSTEM FOR APERTURE DOMAINS IN Lq-SPACES

  Reinhard Farwig;Hermann Sohr

  88
  Citations

• The Dirichlet problem for the Laplacian in bounded and unbounded domains : a new approach to weak, strong and (2+k)-solutions in Sobolev-type spaces

  Christian G. Simader;H. Sohr

  22
  Citations

• On the Stokes operator in exterior domains

  Y. Giga;H. Sohr

  2
  Citations

• Abstract $L^p$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains(Evolution Equations and Applications to Nonlinear Problems)

  Yoshikazu Giga;Hermann Sohr

  0
  Citations