New posts in Ap.Analysis Of Pdes

Preservation of metric signature in Cauchy problem for the Einstein equations

Is an $H_0^1$ function continuous to the boundary if it is continuous in the interior?

How to show simply that $e^{\frac{x}{2}}\int^\infty_0 e^{-t}t^{n-\frac{1}{2}}\cos(2\sqrt{xt})dt=O\big(\frac{n!}{\sqrt{n}}\big)$?

Averaging the mass of a Sobolev function $f\in W^{1,p}(\Omega)$ near $\partial\Omega$

Non-linear hyperbolic PDE

Do we lose any solutions when applying separation of variables to partial differential equations?

Banach algebra of smooth functions

Examples of applications of hyperbolic conservation laws

Arzelà-Ascoli theorem and Hölder spaces

What is an "exact solution" to a PDE?