13th ISAAC Congress 2021

Special Session :: Harmonic Analysis and PDEs

August 2 - August 6, 2021

Organisers: Vladimir Georgiev, Michael Ruzhansky and Jens Wirth

The session will focus on the interplay between harmonic analysis and the theory of partial differential equations, highlight recent advances and bring together experts in both fields. Topics covered in the session will be sharp constants in variational inequalities, relations to solvability/stability of (non-linear) partial differential equations, dispersive properties and scattering of equations mathematical physics, symmetry based concepts, aspects of harmonic analysis on Lie groups, operator quantisations etc. For information regarding registration and abstract submission, please visit the main page of the congress.

Conference Webpage                  ISAAC Interest Group PDE

Participants of the session

1. Obidjon Adbullaev (Romanovski Institute of Mathematics, Uzbekistan)
   On a non-local problem for a loaded parabolic hyberbolic type equation with non-linear terms
2. Achak Azzedine (Chouaib Doukkali University, Morocco)
   Uncertainty principles for the quaternion linear canonical transform
3. Federico Bastianoni (Politecnico Turin, Italy)
   Quasi-Banach modulation spaces for LCA groups and pseudo-differential operators
4. El Mehdi Berkak (University Hassan II, Morocco)
   Boas-Type theorems for the q-Bessel Fourier transform
5. Imane Berkak (University Hassan II, Morocco)
   The Fourier Chebli-Trimeche transform on Boehmians
6. Neal Bez (Saitama University, Japan)
   Pointwise convergence for the Schrödinger equation with orthonormal initial data
7. Jonas Brinker (Stuttgart University, Germany)
   Spectrally invariant algebras of pseudodifferential operators with ultradifferentiable orbit
8. Duvan Cardona (Ghent University, Belgium)
   Global theory of subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups
9. Noboru Chikami (Nagoya Institute of Technology, Japan)
   Optimal well-posedness and forward self-similar solution for the Hardy-Henon parabolic equation
10. Radouan Daher (University Hassan II, Morocco)
    Lipschitz conditions in Damek-Ricci spaces
11. Piero D'Ancona (Sapienza University of Rome, Italy)
    Localization of eigenvalues for non-selfadjoint operators
12. Karlygash Dosmagulova (Al-Farabi Kazakh National University, Kazakhstan)
    Spectral analysis of a differential operator on a compact Riemannian manifold
13. Aishabibi Dukenbayeva (Al-Farabi Kazakh National University, Kazakhstan)
    A generalised Samarskii-Ionkin type problem for the Laplace operator in a ball [CANCELLED]
14. Salah el Ouadih (University of Cadi Ayyad, Morocco)
    Lipschitz conditions for the discrete Fourier-Laplace transform associated with the Laplace-Beltrami operator on the sphere
15. Serena Federico (Ghent University, Belgium)
    Smoothing effect and Strichartz estimates for some time-degenerate Schrödinger equations
16. Daniele Garrisi (University of Nottingham Ningbo, China)
    Standing wave solutions to one-dimensional non-linear Klein-Gordon equations
17. Vladimir Georgiev (University of Pisa, Italy) [organizer]
18. Vagif Guliyev (Baku State University, Azerbaijan)
    Generalised Sobolev-Morrey estimates for hypoelliptic operators on homogeneous groups
19. Iness Haouala (Tunisia)
    A pointwise convergence of Jacobi-Dunkl series
20. Akylbek Kerimbekov (Kyrgyz-Russian Slavic University, Kyrgyzstan)
    On the solvability of the problem of synthesizing distributed and boundary controls in the optimization of oscillation processes
21. Shunsuke Kitamura (Tohoku University, Japan)
    The lifespan estimate for 1D semilinear wave equations with spatial weights and compactly supported data
22. Hideo Kubo (Hokkaido University, Japan)
    On the effect of slowly decreasing initial data for nonlinear wave equations with damping and potential in the scaling critical regime
23. Ning-An Lai (Lishui University, China)
    Recent results on semilinear wave equations with space or time dependent damping term
24. Annunziata Loiudice (Bari University, Italy)
    Subelliptic problems with critical Sobolev exponent and Hardy potential on stratified groups
25. Xiaojun Lu (Southeast University, China)
    Asymptotic behaviour for the non-linear damped wave equation with variable coefficients
26. Tokio Matsuyama (Chuo University, Japan)
27. Frederick Maes (Ghent University, Belgium)
    Inverse source problems in fractional dual-phase-lag heat conduction
28. Mehriban Omarova (Baku State University, Azerbaijan)
    Parabolic nonsingular integral operators on generalised Orlicz-Morrey spaces
29. Gulaiym Oralsyn (Institute of Mathematics and Mathematical Modelling, Kazakhstan)
    On an explicit solution of an inverse problem for the time-fractional diffusion equation [CANCELLED]
30. Ivan Pombo (Aveiro University, Portugal)
    Extension of the Calderon problem for discontinuous complex conductivities
31. Joel Restrepo (Nazarbaev University, Kazakhstan)
    Space-time fractional differential equations
32. Michael Ruzhansky (Ghent University , Belgium) [organizer]
33. Bolys Sabitbek (Queen Mary University London, UK)
    Global existence and blow-up of solutions to the nonlinear porous media equation
34. Najat Safouane (University Hassan II, Morocco)
    Wavelet transform of Dini-Lipschitz functions on the quaternion algebra
35. Raffaele Scandone (Gran Sasso Science Institute, Italy)
    Global well-posedness for the non-linear Maxwell-Schrödinger system
36. Mitsuru Sugimoto (Nagoya University, Japan)
    A constructive approach to nonlinear damped wave equations
37. Durvudkhan Suragan (Nazarbayev University, Kazakhstan)
    Representation formulae for the higher-order Steklov and L^2m-Friedrichs inequalities
38. Hiroyuki Takamura (Tohoku University, Japan)
    
39. Koichi Taniguchi (Tohoku University, Japan)
    Global dynamics for the critical Hardy-Sobolev parabolic equation below the ground state
40. Igor Trushin (Shinshu University, Japan)
    On the determination of certain conductivity distributions via partial boundary measurements
41. Ville Turunen (Aalto University, Finland)
    Time-frequency transforms in Euclidean spaces
42. Abhilash Tushir (Indian Institute of Technology, India)
    Discrete time-dependent wave equations I. Semiclassical analysis
43. Karel van Bockstal (Ghent University, Belgium)
    Reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions
44. Vitali Vougalter (University of Toronto, Canada)
    On the solvability of some systems of integro-differential equations with anomalous diffusion in higher dimension
45. Jens Wirth (University of Stuttgart, Germany) [organizer]
46. Nurgissa Yessirkegenov (Ghent University, Belgium)
    Hypoelliptic Sobolev and Gagliardo-Nirenberg inequalities and ground states
47. Yi Zhou (Fudan University, China)
    Uniqueness and stability of travelling waves to the time-like extremal

Links (if available) go to the talk slides. Names in parantheses are from the joint session with sessions 7 and 13, for abstracts to these talks see the main conference page. Talks at 13:00 and 14:00 are plenary talks of the congress. Again abstracts can be found via the main conference page.

Times shown are starting times given in Central European Summer Time (i.e. UTC+2) except for the closing ceremony which starts at 13:30. Zoom links to session talks, to the joint session on wednesday morning and the plenary talks have been sent by email to all participants.