New posts in partial-differential-equations

Prove an identity for the continuous integral solution of the conservation law

partial-differential-equations hyperbolic-equations

How come, in the heat equation, the maximum can not be attained on the upper boundary of the rectangle we construct?

analysis partial-differential-equations heat-equation maximum-principle

The extension of smooth function

real-analysis partial-differential-equations

$H^{1}$ or $H^{-1}$?

partial-differential-equations sobolev-spaces regularity-theory-of-pdes

Find the Green's Function and solution of a heat equation on the half line

partial-differential-equations

PDEs on Manifolds

analysis differential-geometry partial-differential-equations

What is the essential difference between ordinary differential equations and partial differential equations?

ordinary-differential-equations partial-differential-equations

A PDE exercise from Gilbarg Trudinger. problem 2.2

partial-differential-equations

Symmetries and eigenvalues of the Laplacian.

partial-differential-equations eigenvalues-eigenvectors spectral-theory laplacian

Non-linear partial differential equation

partial-differential-equations

Sobolev space counterexample

functional-analysis partial-differential-equations sobolev-spaces

Variational formulation of Robin boundary value problem for Poisson equation in finite element methods

partial-differential-equations numerical-methods finite-element-method

What kinds of PDE can't be solved by separation of variables?

partial-differential-equations

Understand 1D FEM solution using quadratics elements

partial-differential-equations finite-differences finite-element-method

Why are Sobolev spaces useful?

functional-analysis partial-differential-equations sobolev-spaces

How is Young's inequality applied in this equation?

functional-analysis partial-differential-equations

Question on the proof of Lemma 6.10 in Gilbarg/Trudinger

partial-differential-equations

Physical interpretation of Laplace equation

ordinary-differential-equations partial-differential-equations harmonic-functions

Expansion of the derivatives of the electric and magnetic fields

partial-differential-equations partial-derivative physics fourier-series

Exponential order in Laplace Transform:constructing a function such that it is of exponential order but its derivative is not.

real-analysis complex-analysis partial-differential-equations laplace-transform laplace-method