New posts in partial-differential-equations

Do eigenfunctions of elliptic operator form basis of $H^k(M)$?

functional-analysis partial-differential-equations riemannian-geometry

Geometric intepretation of Holder continuous functions?

functional-analysis partial-differential-equations continuity holder-spaces

What does the term "regularity" mean?

analysis partial-differential-equations harmonic-analysis regularity-theory-of-pdes strichartz-estimates

Solve the heat equation - by splitting up the second order derivative

partial-differential-equations heat-equation

Solution of a differentiation in integral form

partial-differential-equations fourier-analysis

Energy functional in Poisson's equation: what physical interpretation?

physics partial-differential-equations

Problem 7 - Chapter 6 - Evans' PDE (Second Edition)

partial-differential-equations

Poincaré inequality for a subspace of $H^1(\Omega)$

partial-differential-equations sobolev-spaces

Maximum problem for heat equation

partial-differential-equations heat-equation

Relation of Brownian Motion to Helmholtz Equation

stochastic-processes numerical-methods partial-differential-equations

Does solve PDE by combination of variables always cannot find the general solutions?

partial-differential-equations

Integration of Two Variable Function?

integration derivatives partial-differential-equations

How to define weak solution for an elliptic PDE with non-zero Dirichlet boundary condition?

partial-differential-equations

Existence and uniqueness of Stokes flow

reference-request partial-differential-equations vector-analysis mathematical-physics fluid-dynamics

Solve first order PDE system

partial-differential-equations wave-equation characteristics hyperbolic-equations

Why is there no harmonic function on compact Riemannian manifold?

real-analysis differential-geometry partial-differential-equations

Prove for elliptic PDE, $c<0$ implies $\sup_{\Omega} |u| \leq \sup_{\partial\Omega}\lvert \phi \rvert+ \sup_{\Omega}\lvert \frac{f}{c} \rvert.$

analysis partial-differential-equations regularity-theory-of-pdes

surface measure and Gauss-Green theorem proof

integration analysis measure-theory partial-differential-equations

Integration by parts (Green's identities)

integration partial-differential-equations vector-analysis

Importance of Schwartz kernel theorem

functional-analysis analysis partial-differential-equations distribution-theory