Webrelaunch 2020

Dr. Robert Schippa

  • Project A5: Qualitative behavior of nonlinear Maxwell equations
  • Karlsruher Institut für Technologie
    Fakultät für Mathematik
    Institut für Analysis
    Englerstrasse 2
    76131 Karlsruhe
    Germany

Postdoctoral researcher within the CRC 1173, Project A5, since 1 April 2020

Research interests

  • nonlinear dispersive equations
  • Harmonic Analysis on Euclidean space
  • quasilinear wave equations


Publications

  1. Generalized inhomogeneous Strichartz estimates. Discrete and Continuous Dynamical Systems - Series A (2017) Vol. 37, No. 6, pp. 3387-3410. Link
  2. Sharp Strichartz estimates in spherical coordinates. Communications on Pure and Applied Analysis (2017) Vol. 16, No. 6, pp. 2047-2051. Link
  3. On the existence of periodic solutions to the modified Korteweg–de Vries equation. Journal of Evolution Equations (2020) Vol. 20, pp.725-776 Link
  4. On Strichartz estimates from decoupling and applications. Mathematics of Wave Phenomena Link
  5. Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle. Nonlinear Analysis:TMA. (2020). Vol. 196 Link
  6. On short-time bilinear Strichartz estimates and applications to the Shrira equation. Nonlinear Analysis: TMA. (2020) Vol. 198 Link
  7. On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations. Discrete and Continuous Dynamical Systems - Series A (2020) Vol. 40, No. 9, pp.5189-5215 Link
  8. (w/ Shinya Kinoshita) Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation. Journal of Functional Analysis (2021) Vol. 280, No. 6 Link
  9. (w/ Friedrich Klaus) A priori estimates for the derivative nonlinear Schrödinger equation. Link to Preprint (accepted to Funkcialaj Ekvacioj)
  10. (w/ Kihyun Kim) Low regularity well-posedness for generalized Benjamin-Ono equations on the circle. Link to Preprint (accepted to Journal of Hyperbolic Differential Equations)

Preprints

  1. A priori estimates of periodic solutions to the modified Benjamin-Ono equation. Link to Preprint
  2. (w/ Anna Muranova) Eigenvalues of the normalized complex Laplacian on finite electrical networks.Link to Preprint
  3. Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case. Link to Preprint
  4. (w/ Rainer Mandel) Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces. Link to Preprint
  5. On smoothing estimates in modulation spaces and the NLS with slowly decaying initial data. Link to Preprint
  6. Improved resolvent estimates for constant-coefficient elliptic operators in three dimensions.Link to Preprint
  7. (w/ Roland Schnaubelt) On quasilinear Maxwell equations in two dimensions.Link to Preprint

Doctoral thesis

Short-time Fourier transform restriction phenomena and applications to nonlinear dispersive equations (Bielefeld University, 09/ 2019). Link