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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

1Journal of Mathematical Analysis and Applications cover
Journal of Mathematical Analysis and Applications
ISSN 0022-247X2,587 articles in this topic
235h-index
2Journal of Mathematical Physics cover
Journal of Mathematical Physics
ISSN 0022-24881,486 articles in this topic
273h-index
3
Communications in Mathematical Physics
ISSN 0010-3616994 articles in this topic
316h-index
4Classical and Quantum Gravity cover
Classical and Quantum Gravity
ISSN 0264-9381248 articles in this topic
232h-index