New posts in partial-differential-equations

Explicit worked example of symmetrizing system of conservation laws

partial-differential-equations entropy hyperbolic-equations

Why is it important to study the eigenvalues of the Laplacian?

analysis partial-differential-equations spectral-theory harmonic-functions

Wave Equation by separation of variables

linear-algebra algebra-precalculus partial-differential-equations wave-equation

Definition of regularity in PDE theory

real-analysis functional-analysis partial-differential-equations soft-question

Wave equation with variable speed coefficient

partial-differential-equations

How about the inclusion relation between $H^1$ and $C^2$?

real-analysis functional-analysis analysis partial-differential-equations numerical-methods

Will $L^1\log L^1$ bound gives strong $L^1$ convergence?

partial-differential-equations weak-convergence entropy strong-convergence wasserstein

A proof for $\nabla |u|^p = p\ \text{sgn}(u)|u|^{p-1}\nabla u$.

real-analysis functional-analysis reference-request partial-differential-equations sobolev-spaces

Norm Inequality on a Compact Riemannian Manifold

partial-differential-equations manifolds riemannian-geometry compact-manifolds

Elliptic regularity in Sobolev spaces of negative order

analysis reference-request partial-differential-equations sobolev-spaces

Explicit traveling wave solution for the diffusion equation

ordinary-differential-equations partial-differential-equations

Show $\nabla^2g=-f$

real-analysis ordinary-differential-equations partial-differential-equations proof-writing poissons-equation

difference between second order quasi linear and semi linear PDE

partial-differential-equations

Motivation of Feynman-Kac formula and its relation to Kolmogorov backward/forward equations?

functional-analysis partial-differential-equations stochastic-processes stochastic-calculus markov-process

Eigenfunctions of the Helmholtz equation in Toroidal geometry

functional-analysis partial-differential-equations physics

$u\in C_0^3(\Omega)$ 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

Non-ellipticity of Yang-Mills equations

differential-geometry partial-differential-equations riemannian-geometry gauge-theory

Integration by parts for general measure?

real-analysis integration measure-theory partial-differential-equations

Textbook for Partial Differential Equations with a viewpoint towards Geometry.

reference-request partial-differential-equations book-recommendation

The proof of the Helmholtz decomposition theorem through Neumann boundary value problem

multivariable-calculus partial-differential-equations vector-analysis