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VIDEO LIBRARY |
Sixth International Conference on Differential and Functional Differential Equations DFDE-2011
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Choice problem of weight functions in Hardytype inequalities and applications to PDEs in full Euclidean space Ju. A. Dubinskii Moscow Power Engineering Institute, Moscow, Russia |
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Abstract: We consider the following questions: 1. Constructive description of all possible weighting functions in Hardy-type inequalities; 2. Multidimensional weighted inequalities of the Friedrichs and Poincaré type in full Euclidean space; 3. Elliptic equations in the Sobolev scale of functions in the full Euclidean space; 4. Decomposition of the Sobolev spaces and gradient-divergence spaces in the sum of solenoidal and potential subspaces; 5. Divergence and rotor variants of the Stokes systems in the full Euclidean space (“explicit” solutions); 6. Stationary Fokker–Plank–Kolmogorov equations (continuum of nontrivial solutions). |