New posts in Partial Differential Equations

Using Functional Analysis for Differential Equations

Show that $f_{k}\longrightarrow f$ both weakly in $L^{p}$ and a.e. implies $|f_{k}|^{p}-|f|^{p}-|f_{k}-f|^{p}$ converges to $0$ in distribution

Estimate solution of Poisson equation on unit ball

Name of partial derivatives where the order of differentiation can be reversed.

Intuition behind the paradox of instantaneous heat propagation

How to transform a PDE into canonical form

Functions where the sum of its partial derivatives is zero

How to solve the PDE $u_{tt}(t,x)=u(t,x)+12u_t(t,x)+12u_x(t,x)$, $u(t,0)=Ae^{-t^2}\sin{\omega t}$

Solve $\frac{1}{x}z_x+\frac{1}{y}z_y=4$

Einstein field equation,pde and differential geometry