Modern Problems in PDEs and Applications

Part I Mini-courses.- The Hardy constant: a review.- Some harmonic analysis in a general Gaussian setting.- Introduction to hypercomplex analysis.- Some norm bounds for the spectral projections of the Heisenberg sublaplacian.- Boundary value problems for elliptic operators satisfying Carleson condition.- An elementary computation of heat trace invariants.- Can we divide vectors? - Geometric calculus in Science and Engineering.- Maximal regularity as a tool for partial differential equations.- Recent existence results for some critical subelliptic problems.- Introduction to the Analysis on Manifolds with Conical Singularities.- Elliptic systems of phase transition type.- Cordes condition, Campanato nearness and beyond.- Part II Short talks.- Global hypoellipticity on homogeneous vector bundles: Necessary and sufficient conditions.- On inverse source problems for space-dependent sources in thermoelasticity.- Symmetric properties of eigenvalues and eigenfunctions of uniform beams with axial loads.- Cylindrical and horizontal extensions of critical Sobolev type inequalities and identities.- Very weak solution of the wave equation for Sturm-Liouville operator.- Some new multidimensional Cochran-Lee and Hardy type inequalities.

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• Cálculo diferencial e equações
• Análise complexa, variáveis ??complexas

Summer School Proceedings;Analysis;Hypercomplex Analysis;Partial Differential Equations;Applications