Mathematik in den Naturwissenschaften Leipzig Quasiconvex relaxation of multidimensional control problems with integrands f ( t

Mathematik in den Naturwissenschaften Leipzig Relaxation of three solenoidal wells and characterization of three - phase H - measures

We study the problem of characterizing quasiconvex hulls for three “solenoidal” (divergence free) wells in dimension three when the wells are pairwise incompatible. A full characterization is achieved by combining certain ideas based on Šverák’s example of a “nontrivial” quasiconvex function and on Müller’s wavelet expansions estimates in terms of the Riesz transform. As a by-product, we obtain...

F Ur Mathematik in Den Naturwissenschaften Leipzig Quasiconvex Hulls in Symmetric Matrices Quasiconvex Hulls in Symmetric Matrices

We analyze the semiconvex hulls of the subset K in symmetric matrices given by K = fF 2 M 22 : F T = F; jF 11 j = a; jF 12 j = b; jF 22 j = cg that was rst considered by Dacorogna&Tanteri Commun. in PDEs 2001]. We obtain explicit formulae for the polyconvex, the quasiconvex, and the rank-one convex hull for ac ? b 2 0 and show in particular that the quasiconvex and the polyconvex hull are diier...

für Mathematik in den Naturwissenschaften Leipzig Wave Propagation Problems treated with Convolution Quadrature and BEM

F Ur Mathematik in Den Naturwissenschaften Leipzig Interacting Quantum Fields on a Curved Background

F Ur Mathematik in Den Naturwissenschaften Leipzig Dynamical Correlations in a Half--lled Landau Level