# Wolfgang Staubach

Professor at Department of Mathematics; Analysis and Partial Differential Equations

- Telephone:
- +46 18 471 32 39
- E-mail:
- wolfgang.staubach@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480

751 06 UPPSALA

More information is available to staff who log in.

## Publications

### Selection of publications

- A Hilbert manifold structure on the Weil-Petersson class Teichmuller space of bordered Riemann surfaces (2015)
- On The Boundedness Of Certain Bilinear Oscillatory Integral Operators (2015)
- Global and local regularity of Fourier integral operators on weighted and unweighted spaces (2014)
- A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators (2014)
- Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators (2013)
- Weighted norm inequalities for pseudo-pseudodifferential operators defined by amplitudes (2010)
- Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II (2010)
- Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I (2010)
- Variation of Neumann and Green functions under homotopies of the boundary (2009)
- A relative index on the space of 3-dimensional embeddable CR-structures of finite type (2005)
- L2 Solvability of the Dirichlet, Neumann and the regularity problems for parabolic equations with time-independent Hölder-continuous coefficients
- Quasiconformal Teichmüller theory as an analytical foundation for two dimensional conformal field theory

### Recent publications

- On the regularity of multilinear Schrödinger integral operators (2023)
- Estimates for evolutionary partial differential equations in classical function spaces (2023)
- Boundedness of Fourier integral operators on classical function spaces (2023)
- A Survey of Scattering Theory on Riemann Surfaces with Applications in Global Analysis and Geometry (2023)
- On weighted norm inequalities for oscillatory integral operators (2022)

### All publications

#### Articles

- On the regularity of multilinear Schrödinger integral operators (2023)
- Estimates for evolutionary partial differential equations in classical function spaces (2023)
- Boundedness of Fourier integral operators on classical function spaces (2023)
- A Survey of Scattering Theory on Riemann Surfaces with Applications in Global Analysis and Geometry (2023)
- On weighted norm inequalities for oscillatory integral operators (2022)
- Analysis on quasidisks (2022)
- Regularity of Fourier integral operators with amplitudes in general Hormander classes (2021)
- LOCAL AND GLOBAL ESTIMATES FOR HYPERBOLIC EQUATIONS IN BESOV-LIPSCHITZ AND TRIEBEL-LIZORKIN SPACES (2021)
- Schiffer operators and calculation of a determinant line in conformal field theory (2021)
- Global boundedness of a class of multilinear Fourier integral operators (2021)
- Dirichlet spaces of domains bounded by quasicircles (2020)
- Schiffer comparison operators and approximations on Riemann surfaces bordered by quasicircles (2020)
- TRANSMISSION OF HARMONIC FUNCTIONS THROUGH QUASICIRCLES ON COMPACT RIEMANN SURFACES (2020)
- Transference of local to global L-2 maximal estimates for dispersive partial differential equations (2019)
- A Model of the Teichmüller space of genus-zero bordered surfaces by period maps (2019)
- Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operators (2019)
*L*-solvability of the Dirichlet, Neumann and regularity problems for parabolic equations with time-independent Hölder-continuous coefficients (2018)^{2}- Riemann boundary value problem on quasidisks, Faber isomorphism and Grunsky operator. (2018)
- Quasiconformal maps of bordered Riemann surfaces with L
^{2}Beltrami differentials (2017) - Convergence of the Weil-Petersson metric on the Teichmüller space of bordered Riemann surfaces (2017)
- Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks (2017)
- Well-Posedness of a Rieman-Nhilbert Problem on d-Regular Quasidisks (2017)
- Well-posedness of a Riemann-Hilbert problem on d-regular quasidisks (2017)
- Weil-Petersson class non-overlapping mappings into a Riemann surface (2016)
- Dirichlet's problem and Sokhotski-Plemelj's jump formula on Weil-Petersson-Class quasidisks (2016)
- A Hilbert manifold structure on the Weil-Petersson class Teichmuller space of bordered Riemann surfaces (2015)
- On The Boundedness Of Certain Bilinear Oscillatory Integral Operators (2015)
- Some endpoint estimates for bilinear paraproducts and applications (2015)
- A symplectic functional analytic proof of the conformal welding theorem (2015)
- Global and local regularity of Fourier integral operators on weighted and unweighted spaces (2014)
- Multilinear pseudo differential operators beyond Calderon-Zygmund theory (2014)
- A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators (2014)
- Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators (2013)
- Weighted $L^p$ boundedness of pseudodifferential operators and applications (2012)
- Weighted norm inequalities for pseudo-pseudodifferential operators defined by amplitudes (2010)
- Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II (2010)
- Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I (2010)
- Variation of Neumann and Green functions under homotopies of the boundary (2009)
- Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials (2008)
- Unique continuation for the Schrödinger equation with gradient vector potentials (2007)
- Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals (2007)
- A relative index on the space of 3-dimensional embeddable CR-structures of finite type (2005)
- Wiener path integrals and the fundamental solution for the Heisenberg Laplacian (2003)
- Pseudolocality and microlocality of general classes of pseudodifferential operators (2001)
- Multilinear oscillatory integrals and estimates for coupled systems of dispersive partial differential equations
- On the regularity of solutions to systems of dispersive partial differential equations
- L2 Solvability of the Dirichlet, Neumann and the regularity problems for parabolic equations with time-independent Hölder-continuous coefficients
- Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces
- Quasiconformal Teichmüller theory as an analytical foundation for two dimensional conformal field theory
- Transmission of harmonic functions through quasicircles on compact Riemann surfaces