List of communications presented in sections
List of invited addreses
List of invited speakers
List of Participants
Littlewood-Paley a priori estimates for parabolic equations with sub-Dini continuous coefficients
Littlewood-paley decomposition associated with the dunkl operators and paraproduct operators.
Ljusternik-Schnirelmann theory on -manifolds
L∞(L2) and L∞(L∞) error estimates for mixed methods for integro-differential equations of parabolic type
Error estimates in L∞(0,T;L2(Ω)), L∞(0,T;L2(Ω)2), L∞(0,T;L∞(Ω)), L∞(0,T;L∞(Ω)2), Ω in , are derived for a mixed finite element method for the initial-boundary value problem for integro-differential equation based on the Raviart-Thomas space Vh x Wh ⊂ H(div;Ω) x L2(Ω). Optimal order estimates are obtained for the approximation of u,ut in L∞(0,T;L2(Ω)) and the associated velocity p in L∞(0,T;L2(Ω)2), divp in L∞(0,T;L2(Ω)). Quasi-optimal order estimates are obtained for the approximation...
lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.
L∞-Norm minimal control of the wave equation: on the weakness of the bang-bang principle
For optimal control problems with ordinary differential equations where the -norm of the control is minimized, often bang-bang principles hold. For systems that are governed by a hyperbolic partial differential equation, the situation is different: even if a weak form of the bang-bang principle still holds for the wave equation, it implies no restriction on the form of the optimal control. To illustrate that for the Dirichlet boundary control of the wave equation in general not even feasible...
Local a posteriori estimates for the Stokes problem.
Local a priori estimates in Lp for first order linear operators with nonsmooth coefficients.
Local analyticity in the time and space variables and the smoothing effect for the fifth-order KdV-type equation.
Local and global estimates for solutions of systems involving the -Laplacian in unbounded domains.
Local and global existence and behaviour for of solutions of the Navier-Stokes equations
Local and global integrability of gradients in obstacle problems.
Local and global nonexistence of solutions to semilinear evolution equations.
Local approximation estimators for algebraic multigrid.
Local asymptotic symmetry of singular solutions to nonlinear elliptic equations.
Local attractivity in nonautonomous semilinear evolution equations
We study the local attractivity of mild solutions of equations in the form u’(t) = A(t)u(t) + f (t, u(t)), where A(t) are (possible) unbounded linear operators in a Banach space and where f is a (possible) nonlinear mapping. Under conditions of exponential stability of the linear part, we establish the local attractivity of various kinds of mild solutions. To obtain these results we provide several results on the Nemytskii operators on the space of the functions which converge to zero at infinity...