We study quasilinear degenerate parabolic-hyperbolic stochastic partial differential equations with general multiplicative noise within the framework of kinetic solutions. Our results are twofold: First, we establish new regularity results based on averaging techniques. Second, we prove the existence and uniqueness of solutions in a full L1 setting requiring no growth assumptions on the nonline...

Abstract This paper provides an analysis of the notational difference between Beta Existential Graphs, graphical notation for quantificational logic invented by Charles S. Peirce at end 19th century, and ordinary first-order logic. thought his graphs to be “more diagrammatic” than equivalently expressive languages (including own algebras) The reason this, he claimed, is that less room afforded ...