PT
Peter Topalov
math.APmath.SPmath.DSmath.FAmath.DGmath.MPmath-phmath.SGnlin.SIsolv-int
On Valency
published · living versionsW_eu66m7p6·v1 · currentpublished
Preprints & journals
44 papers in the corpus · 1997–2026Classes of integrable metrics on Banach spaces2610.22235v1 · A. Konyaev, P. Topalov2026 · 0 citationsarXiv
Integrable metrics with potentials on the Hardy space and a class of PDEs2606.13446v1 · A. Konyaev, P. Topalov2026 · 0 citationsarXiv
The viscosity limit of fluid flows with growth/decay conditions at infinity2412.05715v1 · R. McOwen, P. Topalov2024 · 0 citationsarXiv
Spatial decay/asymptotics in the Navier-Stokes equation2410.11796v1 · Peter Topalov2024 · 0 citationsarXiv
Elliptic non-degeneracy and spectral rigidity of classical billiards2401.16510v1 · Georgi Popov, Peter Topalov2024 · 0 citationsarXiv
On the low regularity phase space of the Benjamin-Ono equation2308.07829v1 · Patrick G'erard, Peter Topalov2023 · 2 citationsarXiv
Spatial asymptotic expansions in the Navier-Stokes equation2210.04836v1 · R. McOwen, P. Topalov2022 · 1 citationarXiv
Spatially quasi-periodic solutions of the Euler equation2209.10022v1 · Xu Sun, Peter Topalov2022 · 3 citationsarXiv
On the analyticity of the nonlinear Fourier transform of the Benjamin-Ono equation on 2109.08988v1 · P. G'erard, T. Kappeler, P. Topalov2021 · 3 citationsarXiv
On smoothing properties and Tao's gauge transform of the Benjamin-Ono equation on the torus2109.00610v1 · Patrick G'erard, Thomas Kappeler, Peter Topalov2021 · 3 citationsarXiv
On the Benjamin-Ono equation on and its periodic and quasiperiodic solutions2103.09291v1 · Patrick G'erard, Thomas Kappeler, Petar Topalov2021 · 14 citationsarXiv
On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications2103.07981v1 · P. G'erard, T. Kappeler, P. Topalov2021 · 10 citationsarXiv
Perfect fluid flows on with growth/decay conditions at infinity2102.05622v1 · Robert McOwen, Peter Topalov2021 · 1 citationarXiv
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus2006.11864v3 · Patrick G'erard, Thomas Kappeler, Peter Topalov2020 · 21 citationsarXiv
Sharp well-posedness results of the Benjamin-Ono equation in and qualitative properties of its solution2004.04857v1 · P. G'erard, T. Kappeler, P. Topalov2020 · 7 citationsarXiv
Arnold-Liouville theorem for integrable PDEs: a case study of the focusing NLS equation2002.11638v1 · Thomas Kappeler, Peter Topalov2020 · 4 citationsarXiv
Spatial asymptotics and equilibria of heat flow on 1912.07707v3 · Robert McOwen, Peter Topalov2019 · 0 citationsarXiv
On the asymptotic behavior of solutions of the 2d Euler equation1911.03023v3 · Saif Sultan, Peter Topalov2019 · 9 citationsarXiv
On the flow map of the Benjamin-Ono equation on the torus1909.07314v2 · Patrick Gerard, Thomas Kappeler, Peter Topalov2019 · 6 citationsarXiv
On the group of A-P diffeomorphisms and its exponential map1808.01414v2 · Xu Sun, Peter Topalov2018 · 0 citationsarXiv
On the non-existence of local Birkhoff coordinates for the focusing NLS equation1807.02455v2 · T. Kappeler, P. Topalov2018 · 0 citationsarXiv
Spatial asymptotic expansions in the incompressible Euler equation1606.08059v2 · R. McOwen, Peter Topalov2016 · 19 citationsarXiv
From K.A.M. Tori to Isospectral Invariants and Spectral Rigidity of Billiard Tables1602.03155v2 · G. Popov, P. Topalov2016 · 4 citationsarXiv
Scattering-like phenomena of the periodic defocusing NLS equation1505.07394v1 · T. Kappeler, B. Schaad, P. Topalov2015 · 22 citationsarXiv
Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation1505.04455v1 · T. Kappeler, B. Schaad, P. Topalov2015 · 9 citationsarXiv
Asymptotics of spectral quantities of Zakharov-Shabat operators1503.04850v1 · T. Kappeler, B. Schaad, P.Topalov2015 · 6 citationsarXiv
On the convexity of the KdV Hamiltonian1502.05857v1 · Thomas Kappeler, Alberto Maspero, Jan-Cornelius Molnar et al.2015 · 4 citationsCommunications in Mathematical Physics, 346(1): 191-236, 2016
Groups of Asymptotic Diffeomorphisms1412.4732v2 · Robert McOwen, Peter Topalov2014 · 12 citationsarXiv
On normalized differentials on hyperelliptic curves of infinite genus1408.7107v2 · T. Kappeler, P. Topalov2014 · 2 citationsarXiv
Asymptotics in shallow water waves1407.0598v1 · Bob McOwen, Peter Topalov2014 · 10 citationsarXiv
Interpolation of nonlinear maps1405.4253v1 · T. Kappeler, A. Savchuk, A. Shkalikov et al.2014 · 0 citationsarXiv
On nonlinear interpolation1306.5721v1 · Thomas Kappeler, Peter Topalov2013 · 1 citationarXiv
Generic non-selfadjoint Zakharov-Shabat operators1204.5200v3 · T. Kappeler, P. Lohrmann, P. Topalov2012 · 5 citationsarXiv
Qualitative features of periodic solutions of KdV1110.0455v4 · T. Kappeler, B. Schaad, P. Topalov2011 · 33 citationsarXiv
Asymptotics of spectral quantities of Schrödinger operators1107.4542v1 · T. Kappeler, B. Schaad, P. Topalov2011 · 7 citationsarXiv
On the regularity of the composition of diffeomorphisms1107.0488v2 · Hasan Inci, Thomas Kappeler, Peter Topalov2011 · 79 citationsarXiv
On normalized differentials on families of curves of infinite genus1002.2725v1 · T. Kappeler, P. Lohrmann, P. Topalov2010 · 2 citationsarXiv
Invariants of isospectral deformations and spectral rigidity0906.0449v3 · G. Popov, P. Topalov2009 · 23 citationsarXiv
On the Integral Geometry of Liouville Billiard Tables0906.0451v1 · G. Popov, P. Topalov2009 · 11 citationsarXiv
On the symplectic phase space of KdV0710.1381v1 · T. Kappeler, F. Serier, P. Topalov2007 · 7 citationsarXiv
Solutions of mKdV in classes of functions unbounded at infinitymath/0601237v4 · T. Kappeler, P. Perry, M. Shubin et al.2006 · 19 citationsarXiv
Geodesic equivalence and integrabilitymath/9911062v1 · Petar J. Topalov, Vladimir S. Matveev1999 · 6 citationsMPIM preprint series, no. 74 (1998)
Dynamical and Topological methods in Theory of Geodesically Equivalent Metricsmath/9911054v1 · Vladimir S. Matveev, Petar J. Topalov1999 · 1 citationZap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 266 (2000), Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 5, 155--168, 338
Jacobi vector fields of integrable geodesic flowsdg-ga/9712017v1 · V.S. Matveev, P.J. Topalov1997 · 1 citationRegular and Chaotic Dynamics vol 2 no 1 (1997) 103-116
Career total: 114 works. 44 are in this corpus.
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