Analytic inequalities and their applications in PDEs / Yuming Qin.

1. Integral inequalities
2. Differential and difference inequalities
3. Attractors for evolutionary differential equations
4. Global existence and uniqueness for evolutionary PDEs
5. Global existence and uniqueness for abstract evolutionary differential equations
6. Global existence and asymptotic behavior for equations of fluid dynamics
7. Asymptotic behavior of solutions for parabolic and elliptic equations
8. Asymptotic behavior of solutions to hyperbolic equations
9. Asymptotic behavior of solutions to thermovisoelastic, thermoviscoelastoplastic and thermomagnetoelastic equations
10. Blow-up of solutions to nonlinear hyperbolic equations and hyperbolic-elliptic inequalities
11. Blow-up solutions to abstract equations and thermoelastic equations.