Publications
Contributed articles
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(with Louie Bernhardt and Dongxiao Yu) John’s blow up examples and scattering solutions for semi-linear wave equations, 16 pages (2024).
MATRIX Annals 2404.12878
Hyperbolic PDEs and Nonlinear Evolution Problems
Preprints
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(with Grigorios Fournodavlos) Stability of the expanding region of Kerr de Sitter spacetimes, 45 pages (2024).
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(with Martin Taylor) Inverse modified scattering and polyhomogeneous expansions for the Vlasov–Poisson system, 48 pages (2024).
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(with Hans Lindblad) Scattering for wave equations with sources close to the lightcone and prescribed radiation fields, 50 pages (2023).
2303.10569v4 [math.AP]
Recorded talks by Volker: ESI, Vienna (June 2024), BIRS, Banff (July 2023)
Recorded talks by Hans: ESI, Vienna (May 2024) , IAS, Princeton (April 2023)
Publications
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(with Hans Lindblad) Scattering from infinity for semi linear wave equations satisfying the null condition or the weak null condition, Journal of Hyperbolic Differential Equations 20 (1), 155-218 (2023).
World Scientific 1711.00822
Banff International Research Station (online talk) -
Decay of the Weyl curvature in expanding black hole cosmologies, Annals of PDE (2022).
Springer SharedIt Enhanced PDF 1610.04172
YouTube, PRCM, UC Berkeley -
Optical functions in de Sitter, Journal of Mathematical Physics, 62 (8), 082501 (2021)
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(with Grigorios Fournodavlos) On `hard stars’ in general relativity, Annales Henri Poincaré, 20(7), 2135-2172 (2019)
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(with Spyros Alexakis) Non-existence of time-periodic vacuum space-times, J. Differential Geom. Volume 108, Number 1 (2018), 1-62.
Project Euclid 1504.04592
Simons Center for Geometry and Physics
Oberwolfach Report, 3 pages. -
(with with Spyros Alexakis and Arick Shao) Unique continuation from infinity for linear waves, Advances in Mathematics 286 (2016) 481-544.
Elsevier 1312.1989
Banff International Research Station (Talk by Spyros Alexakis) -
Global results for linear waves on expanding Kerr and Schwarzschild de Sitter cosmologies, Communications in Mathematical Physics: Volume 334, Issue 2 (2015), 977–1023.
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Decay of linear waves on higher dimensional Schwarzschild black holes, Analysis & PDE 6-3 (2013), 515–600.
Theses
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Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes, Ph.D. Thesis, University of Cambridge (2012), 223 pages.
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The asymptotics of the gravitational field and the memory effect, Dipl.phys. Thesis, ETH Zurich (2008), [expository, after D. Christodoulou, Nonlinear Nature of Gravitation and Gravitational-Wave Experiments, Phys. Rev. Letters (67), no 12, pp. 1486–1489, (1991)], 48 pages.