本書介紹了非線性色散方程理論的最新進展，主要是非線性薛定諤方程。本書適合對偏微分方程及其相關(guān)領(lǐng)域感興趣的研究生和數(shù)學(xué)研究人員閱讀參考。This volume presents recent progress in the theory of nonlinear dispersive equations， primarily the nonlinear Schr？dinger （NLS） equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed. New techniques and results are described on global existence and properties of solutions with large Cauchy data. Current research in harmonic analysis around Strichartz's inequalities and its relevance to nonlinear PDE is presented. Several topics in NLS theory on bounded domains are reviewed. Using the NLS as an example， the book offers comprehensive insight on current research related to dispersive equations and Hamiltonian PDEs.
鄂公網(wǎng)安備 42010302001612號 