New posts in partial-differential-equations

Is there a more specific name for this PDE and how do I solve it?

ordinary-differential-equations partial-differential-equations online-resources

How to solve this variational problem related to the Couette Flow?

partial-differential-equations calculus-of-variations fluid-dynamics

Finding fundamental solution to the biharmonic operator $\Delta^2=\Delta(\Delta)$?

integration analysis partial-differential-equations harmonic-analysis harmonic-functions

Understanding iterated covariant derivatives to define Sobolev spaces on manifolds

reference-request partial-differential-equations soft-question riemannian-geometry sobolev-spaces

Impose PDE itself as Boundary Condition?

partial-differential-equations numerical-methods mathematical-modeling boundary-value-problem finite-differences

Is there a function $f(x)$ that satisfies $f(e^x) = e^x f(x)$?

partial-differential-equations continuity functional-equations

Why solving $\dfrac{\partial u}{\partial x}=\dfrac{\partial^2u}{\partial y^2}$ like this is wrong?

partial-differential-equations fake-proofs

Solving the PDE $u_{tt}+2u_{tx}+u_{xx}=2c$

partial-differential-equations

What does a "heat ball" look like?

multivariable-calculus partial-differential-equations

Solving a PDE with tricky boundary conditions

partial-differential-equations numerical-methods matlab

Is there any theorem that tells us how many ICs or BCs are needed for getting the determine solution of a PDE or a set of PDEs?

partial-differential-equations

Nonlinear PDE $u_y=(u_x)^3$

partial-differential-equations

Elliptic Regularity on Manifolds

partial-differential-equations manifolds riemannian-geometry

PDE - Method of characteristics and shock waves

partial-differential-equations

Lagrange Multiplier problem gives wrong answer for Sphere problem.

partial-differential-equations optimization lagrange-multiplier

Application of the Arzela-Ascoli Theorem

real-analysis functional-analysis functions partial-differential-equations weak-convergence

Non-examples for the Kato-Rellich Theorem

linear-algebra functional-analysis partial-differential-equations hilbert-spaces examples-counterexamples

Interior gradient bound

partial-differential-equations harmonic-functions

Runge-Kutta method for PDE

partial-differential-equations numerical-methods runge-kutta-methods

Poincaré's inequality proof for $u \in W_0^{1,p}(\Omega)$.

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