New posts in partial-differential-equations

A Question on the Use of Aubin-Lions Lemma

functional-analysis partial-differential-equations

Solve $u_{tt}-u_{xx}=e^t\sin(5x), u(t,0)=u(t,\pi)=0, u(0,x)=0,u_t(0,x)=\sin(3x)$

partial-differential-equations

When viewing Sobolev spaces as completions, how does the notion of weak derivative arise?

functional-analysis reference-request partial-differential-equations riemannian-geometry sobolev-spaces

Semi-group theory and Poisson equation on the upper half plane

functional-analysis partial-differential-equations operator-theory poissons-equation semigroup-of-operators

Problem $u_t - u_{xx} = e^t$ in $\mathbb{R} \times (0,+\infty)$

analysis partial-differential-equations fourier-transform heat-equation

Theorem $2$ (Variational principle for the principal eigenvalue)

partial-differential-equations proof-explanation elliptic-operators

Fredholm Alternative as seen in PDEs, part 1

linear-algebra functional-analysis partial-differential-equations

References on the Nash-Moser implicit function theorem

analysis functional-analysis reference-request partial-differential-equations calculus-of-variations

Change of Variable formula for a non-differentiable mapping.

real-analysis measure-theory differential-geometry reference-request partial-differential-equations

$\Delta u=\text{constant}$ in a domain with von Neumann boundary condition

partial-differential-equations harmonic-functions laplacian greens-function

Wave propagation with variable wave speed

partial-differential-equations

Prove the uniqueness of poisson equation with robin boundary condition

partial-differential-equations harmonic-analysis harmonic-functions poissons-equation

Advanced book on partial differential equations

functional-analysis partial-differential-equations book-recommendation

Gelfand Triples / Rigged Hilbert Spaces - Reflexivity necessary?

functional-analysis partial-differential-equations hilbert-spaces banach-spaces adjoint-operators

Convert a radially symmetric PDE into ODE

ordinary-differential-equations partial-differential-equations symmetric-functions

Using the Energy Method to show there exists at most one solution

partial-differential-equations solution-verification boundary-value-problem heat-equation laplacian

$L^2\cap C^\infty$ Hodge/Helmholtz decomposition on $\Bbb R^n$

real-analysis partial-differential-equations fluid-dynamics

Poincaré Inequality

inequality partial-differential-equations sobolev-spaces

Coordinate method for solving first order linear PDE

partial-differential-equations

Laplace equation Dirichlet problem on punctured unit ball.

partial-differential-equations harmonic-analysis harmonic-functions