I Woke Up In A Strange Place. A day in the life of a mathematician. From an analysis point of view. For those of you who followed my Harmonic Analysis notes. Circle discrepancy for checkerboard measures.

A place for proofs, examples, and topics I find interesting. Mollification and the Product Rule. In the abstract study of partial differential equations, we often times throw the concept of weak derivatives. Around as if they acted just like classical derivatives. One such example is the product rule. For example, when studying evolution equations. Time dependent partial differential equations such as the Navier-Stokes equations. Books blow past the following equality. Is some sort of inner product.

Despite its title this blog is meant to be more of an exercise for the owner rather than an actual contribution, at least for the moment. Despite its title this blog is meant to be more of an exercise for the owner rather than an actual contribution, at least for the moment. Some thoughts on the smoothing effect of convolution on measures.