New posts in regularity-theory-of-pdes

How to determine whether a solution of a transport PDE is classical?

partial-differential-equations regularity-theory-of-pdes transport-equation

Need good reference or a proof on regularity of solution to Neumann problem

reference-request partial-differential-equations regularity-theory-of-pdes linear-pde reference-works

What is elliptic bootstrapping?

partial-differential-equations reference-request regularity-theory-of-pdes big-picture

cutoff function vs mollifiers

real-analysis partial-differential-equations sobolev-spaces distribution-theory regularity-theory-of-pdes

What does the term "regularity" mean?

analysis partial-differential-equations harmonic-analysis regularity-theory-of-pdes strichartz-estimates

Prove for elliptic PDE, $c<0$ implies $\sup_{\Omega} |u| \leq \sup_{\partial\Omega}\lvert \phi \rvert+ \sup_{\Omega}\lvert \frac{f}{c} \rvert.$

analysis partial-differential-equations regularity-theory-of-pdes

viscosity solution vs. weak solution

partial-differential-equations regularity-theory-of-pdes viscosity-solutions

$H^{1}$ or $H^{-1}$?

partial-differential-equations sobolev-spaces regularity-theory-of-pdes

Linearisation of a Quasilinear Elliptic PDE

partial-differential-equations regularity-theory-of-pdes elliptic-equations linearization

Why should I "believe in" weak solutions to PDEs?

partial-differential-equations soft-question regularity-theory-of-pdes