New posts in partial-differential-equations

Deriving a formula for the amount of time you should study for multiple tests

calculus ordinary-differential-equations derivatives partial-differential-equations recreational-mathematics

Applications of Hille-Yosida Theorem to Partial Differential Equations

functional-analysis partial-differential-equations semigroup-of-operators

Understanding the Fokker-Planck equation for non-stationary processes

partial-differential-equations stochastic-processes

Why does positive definite guarantee uniqueness? (Peter J Olver PDE book chapter 9)

partial-differential-equations linear-transformations positive-definite self-adjoint-operators

First order PDE's. Determining when IVP solution is unique

partial-differential-equations initial-value-problems

Distributional Laplacian of logarithm and the Dirac delta distribution

measure-theory partial-differential-equations distribution-theory laplacian

Entropy Solution of Burgers' equation $u_t+(u^2/2)_x=0$

partial-differential-equations hyperbolic-equations

Difference between the fundamental solution and the Green function

partial-differential-equations

Relationship among the function spaces $C_c^\infty(\Omega)$, $C_c^\infty(\overline{\Omega})$ and $C_c^\infty(\Bbb{R}^d)$

real-analysis functional-analysis reference-request partial-differential-equations notation

Decomposition of functionals on sobolev spaces

functional-analysis partial-differential-equations sobolev-spaces

How many "constants of integration" will a PDE have?

ordinary-differential-equations reference-request partial-differential-equations

Regularity of a domain - definition

partial-differential-equations sobolev-spaces

What is the difference between the domain of influence and the domain of dependence?

partial-differential-equations

Boundaries in heat equation

partial-differential-equations

Reference Request: Full mathematical treatment of Schrödinger evolution of hydrogen atom

functional-analysis partial-differential-equations hilbert-spaces quantum-mechanics

The mathematics of music - why sine waves?

fourier-analysis fourier-series partial-differential-equations music-theory

A question about the laplacian of homogeneous functions.

partial-differential-equations harmonic-functions laplacian spherical-harmonics

How was this PDE solution guessed?

partial-differential-equations

Do $u\in H^1(\Omega)$ and $\Delta u\in L^2(\Omega)$ imply $u\in H^2(\Omega)$?

functional-analysis partial-differential-equations sobolev-spaces

Intuition behind the paradox of instantaneous heat propagation

partial-differential-equations heat-equation