Markus Poppenberg

On the existence of soliton solutions to quasilinear Schrödinger equations

Markus Poppenberg, Klaus Schmitt, Zhi-Qiang Wang · Calculus of Variations and Partial Differential Equations · 2002 · 446 citations

Soliton Solutions, Elliptic Equation, Nonlinear Wave Propagation +4

Nash moser methods for the solution of quasilinear schrödinger equations

Horst Lange, Markus Poppenberg, Holger Teismann · Communications in Partial Differential Equations · 1999 · 109 citations

Numerical Analysis, Numerical Method For Partial Differential Equation, Engineering +10

On the Local Well Posedness of Quasilinear Schrödinger Equations in Arbitrary Space Dimension

Markus Poppenberg · Journal of Differential Equations · 2001 · 85 citations

Potential Theory, Local Well Posedness, Quasilinear Schrödinger Equations +6

A tame splitting theorem for exact sequences of Fréchet spaces

Markus Poppenberg, Dietmar Vogt · Mathematische Zeitschrift · 1995 · 31 citations

Tame Splitting Theorem, Set-theoretic Topology, Functional Analysis

Smooth solutions for a class of fully nonlinear Schrödinger type equations

Markus Poppenberg · Nonlinear Analysis · 2001 · 26 citations

Elliptic Equation, Nonlinear Wave Propagation, Nonlinear Equation +3