New posts in partial-differential-equations

Change variables into Fokker-Planck PDE

partial-differential-equations

Reversing the Ricci flow

differential-geometry partial-differential-equations differential-topology riemannian-geometry ricci-flow

Energy norm. Why is it called that way?

partial-differential-equations physics

Cauchy Problem for inviscid Burgers' equation

partial-differential-equations characteristics hyperbolic-equations

Using Markov Property in solving PDE/SDE

probability-theory partial-differential-equations stochastic-processes stochastic-calculus stochastic-differential-equations

Elliptic Regularity for solutions in distributional sense

analysis partial-differential-equations

Roadmap to SPDEs

probability partial-differential-equations reference-request stochastic-processes

Dirichlet problem in the disk: behavior of conjugate function, and the effect of discontinuities

complex-analysis partial-differential-equations fourier-analysis harmonic-functions

Indication on how to solve the heat equations with nonconstant coefficients

partial-differential-equations

Wave Equation with One Non-Homogeneous Boundary Condition

partial-differential-equations

Intuition behind variational principle

differential-geometry partial-differential-equations calculus-of-variations symplectic-geometry

Evans PDE Chapter 5 Problem 11: Does $Du=0$ a.e. implie $u=c$ a.e.?

functional-analysis partial-differential-equations sobolev-spaces

A problem from Evans' PDEs book: find a Lagrangian for a given Euler-Lagrange equation

partial-differential-equations

Evans PDE Problem 5.15: Poincaré inequality for functions with large zero set

partial-differential-equations sobolev-spaces

Stochastic interpretation of Einstein equations

differential-geometry partial-differential-equations stochastic-processes mathematical-physics general-relativity

Was Euler right?

calculus ordinary-differential-equations partial-differential-equations

How does absolute error behave in the boundary conditions of a PDE?

partial-differential-equations boundary-value-problem initial-value-problems

Weak derivative zero implies constant function

functional-analysis partial-differential-equations weak-derivatives

dual of $H^1_0$: $H^{-1}$ or $H_0^1$?

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

How to solve the nonlinear recurrence which depends on $n$

partial-differential-equations recurrence-relations