New posts in partial-differential-equations

Example solutions for PDE

partial-differential-equations examples-counterexamples

is bounded linear operator necessarily continuous?

functional-analysis partial-differential-equations operator-theory banach-spaces

Weighted Poincare Inequality

functional-analysis partial-differential-equations functional-inequalities

Show that Laplace's equation $\Delta u=0$ is rotation invariant

partial-differential-equations

What is the 'linearization' of a PDE?

reference-request partial-differential-equations linearization

Is $H_0^1(\mathbb{R}) \cap H^2(\mathbb{R})$ compactly embedded into $L^2(\mathbb{R})$? [duplicate]

functional-analysis partial-differential-equations sobolev-spaces

Online resources to learn numerical methods for PDEs?

reference-request partial-differential-equations numerical-methods

Lower bound on convexity radius in terms of injectivity radius (without using curvature)

differential-geometry reference-request partial-differential-equations riemannian-geometry

How to solve the following Poisson equation? [closed]

partial-differential-equations

characterization of the dual space of the Sobolev space $H_0^1$

functional-analysis partial-differential-equations sobolev-spaces

Heat Equation in spherical coordinates

partial-differential-equations partial-derivative boundary-value-problem heat-equation

A variant of the ode $\dot x=y, \dot y=-x$

ordinary-differential-equations partial-differential-equations

Graphing solutions of the plucked string equation (Strauss PDE)

partial-differential-equations wave-equation

Solution of Poisson equation for $f(x,y)=1$

partial-differential-equations elliptic-equations linear-pde poissons-equation

Mean Value Property of Harmonic Function on a Square

calculus partial-differential-equations harmonic-analysis harmonic-functions

Regularizing effect of the heat equation

partial-differential-equations fourier-analysis

Hille Yosida theorem application

functional-analysis partial-differential-equations sobolev-spaces

Two definitions of $H^1(\partial\Omega)$, one using charts and one use tangential gradients

functional-analysis differential-geometry partial-differential-equations sobolev-spaces

Understanding what people mean in PDEs

real-analysis partial-differential-equations

Trying to compute limit of singular integrals : $L= \lim_{s\to 1}(1-s)\int_{\Omega}\frac{(u(x)-u(y))}{|x-y|^{d+2s}} d y.$

real-analysis partial-differential-equations contour-integration greens-theorem singular-integrals