Research Output per year

## Fingerprint Dive into the research topics where Oana Pocovnicu is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Global Well-posedness
Mathematics

Nonlinear Schrödinger Equation
Mathematics

Nonlinear Wave Equation
Mathematics

Cauchy
Mathematics

Energy
Mathematics

Local Well-posedness
Mathematics

Quintic
Mathematics

Well-posedness
Mathematics

##
Co Author Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 2011 2019

## Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{3}

Bényi, Á., Oh, T. & Pocovnicu, O., 4 Mar 2019, In : Transactions of the American Mathematical Society: Series B. 6, p. 114-160 47 p.Research output: Contribution to journal › Article

Open Access

File

Nonlinear Schrödinger Equation

Cauchy

Power Series Expansion

Local Well-posedness

Higher Order

## On the probabilistic Cauchy theory for nonlinear dispersive PDEs

Bényi, Á., Oh, T. & Pocovnicu, O., 2019,*Landscapes of Time-Frequency Analysis.*Birkhäuser, p. 1-32 32 p. (Applied and Numerical Harmonic Analysis).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Well-posedness

Cauchy

Partial differential equations

Partial differential equation

Review

## On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities

Oh, T., Okamoto, M. & Pocovnicu, O., Jun 2019, In : Discrete and Continuous Dynamical Systems-Series A. 39, 6, p. 3479-3520 42 p.Research output: Contribution to journal › Article

Open Access

File

Well-posedness

Nonlinear Schrödinger Equation

Nonlinearity

Energy

Gauge Invariance

## An L^{p}-theory for almost sure local well-posedness of the nonlinear Schrödinger equations

Pocovnicu, O. & Wang, Y., Jun 2018, In : Comptes Rendus Mathématique. 356, 6, p. 637-643 7 p.Research output: Contribution to journal › Article

Open Access

File

Local Well-posedness

Nonlinear Schrödinger Equation

Rough

Dispersive Estimates

Framework

## A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line

Gerard, P., Lenzmann, E., Pocovnicu, O. & Raphael, P., Apr 2018, In : Annals of PDE. 4, 1, 7.Research output: Contribution to journal › Article

Open Access

File