Area of research
Mathematical Physics · Applied Mathematics
Research interest
Research interests include Advanced Mathematical Physics Problems, Advanced Mathematical Modeling in Engineering, Nonlinear Waves and Solitons, and Nonlinear Partial Differential Equations.
Interior and Boundary Unique Continuation
Soliton Resolution for the Radial Quadratic Wave Equation in Space Dimension 6
Soliton resolution for the radial critical wave equation in all odd space dimensions
Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation
Decay Estimates for Nonradiative Solutions of the Energy-Critical Focusing Wave Equation
Asymptotic simplification for solutions of the energy critical nonlinear wave equation
Soliton resolution along a sequence of times for the focusing energy critical wave equation
Soliton resolution along a sequence of times for the focusing energy critical wave equation
Profiles for the Radial Focusing 4d Energy-Critical Wave Equation
Characterization of large energy solutions of the equivariant wave map problem: II
Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
Relaxation of Wave Maps Exterior to a Ball to Harmonic Maps for All Data
On Landis’ Conjecture in the Plane
The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients
Classification of radial solutions of the focusing, energy-critical wave equation
Homogenization of elliptic systems with Neumann boundary conditions
Periodic Homogenization of Green and Neumann Functions
The Calderón problem with partial data on manifolds and applications
Energy partition for the linear radial wave equation
Profiles of bounded radial solutions of the focusing, energy-critical wave equation
Determining an Unbounded Potential from Cauchy Data in Admissible Geometries
On <i>L<sup>p</sup> </i> resolvent estimates for Laplace–Beltrami operators on compact manifolds
Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case
Restriction for homogeneous polynomial surfaces in $\mathbb {R}^3$
Scattering for Radial, Bounded Solutions of Focusing Supercritical Wave Equations
Harmonic Analysis and Partial Differential Equations
FRG: Collaborative Research: New Challenges in the Derivation and Dynamics of Quantum Systems
Harmonic Analysis and Partial Differential Equations
Well-Posedness and Long Time Behavior of Some Nonlinear Partial Differential Equations
FRG: Collaborative Research: Long-Term Dynamics of Nonlinear Dispersive and Hyperbolic Equations: Deterministic and Probabilistic Methods
Harmonic Analysis and Partial Differential Equations
Harmonic Analysis and Partial Differential Equations
Harmonic Analysis and Partial Differential Equations
Harmonic Analysis and Partial Differential Equations
Mathematical Sciences: Harmonic Analysis and Partial Differential Equations
Mathematical Sciences: Conference on Harmonic Analysis and Partial differential Equations
Mathematical Sciences: International Travel - Program on Harmonic Analysis and Partial Differential Equations
Mathematical Sciences: Harmonic Analysis and Partial Differential Equations
U.S.-Argentina Cooperative Science Program: Research in Mathematical Analysis
Mathematical Sciences: Partial Differential Equations & Harmonic Analysis
Mathematical Sciences: Partial Differential Equations, Nonlinear Functional Analysis and Harmonic Analysis
Mathematical Sciences: Harmonic Analysis and Partial Differential Equations
Harmonic Analysis and Elliptic Partial Differential Equations in Non Smooth Domains, Classical Fourier Analysis