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Advanced Mathematical Physics Problems

TopicLeading institutions, researchers & key papers

This cluster of papers focuses on the global well-posedness, scattering, and blow-up phenomena for various nonlinear wave equations, including the nonlinear Schrödinger equation, wave maps equation, Korteweg-de Vries equation, and dispersive equations. The research also explores the behavior of solitons and critical exponent for energy-critical equations.

10
Works

How has Advanced Mathematical Physics Problems's publication output changed over time?

ScholarIQpublication output · 2023–2025

Output declined67% over the shown period — from 3 works in 2023 to 1 in 2025.

3
1
1
202320242025

What are the most-cited papers on Advanced Mathematical Physics Problems?

ScholarIQmost cited works
Global well-posedness of the energy-critical stochastic nonlinear Schrödinger equation on the three-dimensional torus
Guopeng Li, Mamoru Okamoto, Liying Tao
arXiv (Cornell University). 20241 CitationsOPEN ACCESS
Random data final-state problem of fourth-order inhomogeneous NLS
Liying Tao, Tengfei Zhao
S200871675. 20230 Citations
Almost sure scattering for defocusing energy critical Hartree equation on $\R^5$
Liying Tao, Tengfei Zhao
arXiv (Cornell University). 20230 CitationsOPEN ACCESS
Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation
Li, Guopeng, Liying Tao, Tengfei Zhao
arXiv (Cornell University). 20230 CitationsOPEN ACCESS
Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation
Guopeng Li, Liying Tao, Tengfei Zhao
Stochastic Partial Differential Equations Analysis and Computations. 20250 Citations

Where is Advanced Mathematical Physics Problems research published, and who funds it?

ScholarIQvenues & funding sources

TOP FUNDERS

National Science Foundation
NIH
Wellcome Trust
European Research Council
Funder breakdown is a member featureSign up free to unlock

How much of the research on Advanced Mathematical Physics Problems is open access?

ScholarIQopen access share
60%OPEN ACCESS
Gold
0%
Green
60%
Hybrid
0%
Bronze
0%
Closed
40%

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