New posts in partial-differential-equations

Heat equation problem with Dirichlet condition

partial-differential-equations heat-equation

Proof Nehari manifold of semilineal subcritical $-\Delta u = f(u)$ in $\Omega$ is not empty.

functional-analysis partial-differential-equations sobolev-spaces calculus-of-variations

Solving a simple Shallow Water model

partial-differential-equations fluid-dynamics hyperbolic-equations

how to solve this PDE

partial-differential-equations

Smoothness of harmonic functions

real-analysis partial-differential-equations

Use Lax-Milgram theorem to prove the existence of weak solution for an elliptic equation

functional-analysis partial-differential-equations

The constant in the Sobolev trace theorem inequality

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

Estimates on Derivatives

analysis partial-differential-equations harmonic-functions

Absolute value of functions in Sobolev space

real-analysis partial-differential-equations sobolev-spaces

Second derivative of mollification at local maximum

real-analysis calculus partial-differential-equations

Solve the PDE: $u_{xx} - 3u_{xt} - 4u_{tt} = 0$ [duplicate]

ordinary-differential-equations partial-differential-equations

Wave equation how to derive the form $u(x,t)=f(x+ct)+g(x-ct)$

partial-differential-equations wave-equation

The backwards heat equation is not well posed

partial-differential-equations heat-equation

Solving the Quasilinear PDE $u_{t} - u^2 u_{x} = 0$ with piecewise initial condition.

partial-differential-equations characteristics

Good reference texts for introduction to partial differential equation?

reference-request soft-question partial-differential-equations

Total mean curvature in $L^2$ and minimal surfaces in spaces with non-positive sectional curvature

differential-geometry partial-differential-equations riemannian-geometry curvature minimal-surfaces

On a manifold, is the $L^p$ space of vector fields complete?

functional-analysis partial-differential-equations differential-topology riemannian-geometry lp-spaces

Creating geodesics on manifolds

reference-request partial-differential-equations riemannian-geometry geodesic heat-equation

Effect of pullback of differential forms on an ideal

reference-request differential-geometry partial-differential-equations self-learning exterior-algebra

Understanding Elliptic Operators

functional-analysis partial-differential-equations definition