We prove space-time parabolic Besov regularity in terms
of integrability of Besov norms in the space variable for solutions of the
heat equation on cylindrical regions based on Lipschitz domains.

Accepted: The Journal of Fourier Analysis and Applications. January…

The class of NPc-lattices is introduced as a quasivariety of commutative residuated lattices, and it is shown that the class of pairs $(\A, A^+)$ such that $\A$ is an NPc-lattice and $A^+$ is its positive cone, is a matrix semantics…

In this note we give sufficient conditions on two dyadic systems on a space of homogeneous type in order to obtain the equivalence of corresponding Haar systems on Lebesgue spaces. The main tool is the vector valued Fefferman-Stein inequality for…

Abstract: Surface diffusion is a (4th order highly nonlinear) geometric driven motion of a surface with normal velocity proportional to the surface Laplacian of mean curvature. We present a novel variational formulation for parametric surfaces with or without boundaries. The…

Spinks and Veroff have shown that constructive logic with strong negation (CLSN for short), can be considered as a substructural logic. We use algebraic tools developed to study substructural logics to investigate some axiomatic extensions of CLSN. For instance we…

Abstract: Surface diffusion is a (4th order highly nonlinear) geometric driven motion of a surface with normal velocity proportional to the surface Laplacian of mean curvature. We present a novel variational formulation for graphs and derive a priori error estimates…