New posts in partial-differential-equations

Differentiating the determinant of the Jacobian of a diffeomorphism (don't understand a proof)

matrices differential-geometry partial-differential-equations determinant

evans book pde estimate question

calculus multivariable-calculus partial-differential-equations

Two fluids flowing perpendicular in thermal contact with a Wall [Help to mathematically model]

ordinary-differential-equations partial-differential-equations problem-solving mathematical-modeling laplacian

Definition of $H^{-1}$ space in Evans' PDE book

functional-analysis partial-differential-equations

Suppose $\phi$ is a weak solution of $\Delta \phi = f \in \mathcal{H}^1$. Then $\phi\in W^{2,1}$

functional-analysis partial-differential-equations harmonic-analysis poissons-equation hardy-spaces

Elliptic regularization of the heat equation

partial-differential-equations calculus-of-variations euler-lagrange-equation

What is precisely the definition of Elliptic Partial Differential Equation?

real-analysis partial-differential-equations

$\sup_K |\partial^{\alpha}u|\le C^{|\alpha|+1}\alpha!^s$ then $u$ is analytic for $s\le 1$

real-analysis partial-differential-equations supremum-and-infimum wave-equation

Need good reference or a proof on regularity of solution to Neumann problem

reference-request partial-differential-equations regularity-theory-of-pdes linear-pde reference-works

Heat Equation - Energy (Neumann Condition)

partial-differential-equations heat-equation

Weak Formulations and Lax Milgram:

partial-differential-equations numerical-methods hilbert-spaces

Products of distributions ill-defined

real-analysis analysis partial-differential-equations distribution-theory

Origin of the name 'test functions'

functional-analysis terminology math-history partial-differential-equations distribution-theory

Where to learn algebraic analysis

algebraic-geometry partial-differential-equations sheaf-theory several-complex-variables

How to look at the Lie derivative as a partial differential operator?

differential-geometry partial-differential-equations differential-topology differential-operators

Prove by the divergence theorem that $\int_{\partial \Omega} u\frac{\partial u}{\partial n}dS \ge 0$. For what harmonic function does equality hold?

partial-differential-equations divergence-theorem

Why is partition of unity required in definition of Sobolev space on manfolds?

partial-differential-equations manifolds sobolev-spaces

Partial differential equation - integral surface

partial-differential-equations

Undefined Terms Within Series Solution For Heat Equation Solution

sequences-and-series ordinary-differential-equations partial-differential-equations fourier-series heat-equation

Solving partial differential equation in 2d with 3 boundary conditions

ordinary-differential-equations partial-differential-equations harmonic-functions boundary-value-problem