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Physical Sciences → Mathematics → Mathematical Physics

Advanced Mathematical Physics Problems

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.

42.8K works worldwide524.1K citations
Global Well-PosednessNonlinear Schrödinger EquationScatteringBlow-UpDispersive EquationsStrichartz EstimatesEnergy-Critical EquationsWave Maps EquationKorteweg-de Vries EquationSolitons

Journals publishing in this area

Articles on Scinovex in this research area

1 articles, most cited first

  1. Multiple solutions for asymptotically linear Schro¨dinger equation with sign-changing potentials
    International Journal of Statistics and Applied Mathematics · 2016 · 0 citations · AI summary