New posts in laplacian

$\Delta u=\text{constant}$ in a domain with von Neumann boundary condition

partial-differential-equations harmonic-functions laplacian greens-function

How to prove this relation between the laplacian of the logarithm and the dirac delta function?

analysis dirac-delta laplacian

Using the Energy Method to show there exists at most one solution

partial-differential-equations solution-verification boundary-value-problem heat-equation laplacian

Why is Laplacian ubiquitous?

laplacian

Norm of Laplacian of a differential form

differential-geometry riemannian-geometry differential-forms laplacian

Why is a diffeomorphism an isometry if and only if it commutes with the Laplacian?

riemannian-geometry laplacian

Questions about a linear PDE

multivariable-calculus partial-differential-equations coordinate-systems laplacian

Laplacian of a radial function

real-analysis analysis derivatives laplacian

Express partial derivatives of second order (and the Laplacian) in polar coordinates [duplicate]

multivariable-calculus partial-differential-equations partial-derivative polar-coordinates laplacian

Does the symbol $\nabla^2$ has the same meaning in Laplace Equation and Hessian Matrix?

calculus laplacian

Proof for the Laplacian of scalar fields using index notation [closed]

multivariable-calculus partial-differential-equations laplacian index-notation scalar-fields

Proof that $a\nabla^2 u = bu$ is the only homogenous second order 2D PDE unchanged/invariant by rotation

partial-differential-equations laplacian change-of-variable invariance

Two fluids flowing perpendicular in thermal contact with a Wall [Help to mathematically model]

ordinary-differential-equations partial-differential-equations problem-solving mathematical-modeling laplacian

What is the significance of differential operators over other operators in group theory?

group-theory physics laplacian differential-operators spherical-harmonics

Show that the Laplacian of a function $f$ is $\Delta^2 f=(\frac{n−1}{r})g'(r)+g''(r)$

vector-analysis laplacian

Define vector field with known curl and div [duplicate]

partial-differential-equations vector-analysis physics vector-fields laplacian

Fundamental solution to the Poisson equation by Fourier transform

fourier-analysis analyticity laplacian greens-function

$u\in C_0^3(\Omega)$ satisfis $ -\Delta u=f(x), x\in\Omega. $Prove that $ \sum_{i,j=1}^{n}\int_\Omega u^2_{x_i x_j} dx\leq n\int_{\Omega}f^2 dx. $

partial-differential-equations laplacian parabolic-pde potential-theory

Show Laplace operator is rotationally invariant

ordinary-differential-equations multivariable-calculus derivatives partial-derivative laplacian

Are spherical harmonics harmonic?

harmonic-functions laplacian spherical-harmonics