New posts in partial-differential-equations

Using the characteristics to get the canonical form of a pde

partial-differential-equations characteristics canonical-transformation

Burgers' equation $u_t + uu_x =0$ with $u(x,0)=x$

partial-differential-equations hyperbolic-equations

Why is it useful to show the existence and uniqueness of solution for a PDE?

partial-differential-equations calculus-of-variations weak-derivatives elliptic-equations

Do discontinuous harmonic functions exist?

partial-differential-equations harmonic-analysis

Solving 2D Poisson Equation with one inhomogeneous Dirichlet Boundary Condition

partial-differential-equations poissons-equation

A typical $L^p$ function does not have a well-defined trace on the boundary

partial-differential-equations lp-spaces

Problem 9 - Chapter 5 - Evans' PDE (First Edition)

partial-differential-equations sobolev-spaces integral-inequality

Diffusion in an interval with zeroed boundaries

linear-algebra partial-differential-equations boundary-value-problem

The Biharmonic Eigenvalue Problem on a Rectangle with Dirichlet Boundary Conditions

real-analysis analysis functional-analysis ordinary-differential-equations partial-differential-equations

Counterexample for the solvability of $-\Delta u = f$ for $f\in C^{0}$

functional-analysis partial-differential-equations

Explaining the method of characteristics

reference-request partial-differential-equations

What's the use of scaling here?

partial-differential-equations dimensional-analysis

Solving $u_t+2u_x=0$

partial-differential-equations

Applications of Pseudodifferential Operators

analysis partial-differential-equations fourier-analysis differential-topology differential-operators

What is spectrum for Laplacian in $\mathbb{R}^n$?

functional-analysis reference-request partial-differential-equations eigenvalues-eigenvectors spectral-theory

what should be the range of $u$ satisfying following equation.

partial-differential-equations

Non-uniqueness of solutions of the heat equation

partial-differential-equations heat-equation

Solving $tu_t + u_x = x$, $u(t,0) = t^2$

multivariable-calculus partial-differential-equations

Why is uniqueness important for PDEs?

functional-analysis partial-differential-equations

PDEs on manifold: what changes from Euclidean case?

partial-differential-equations manifolds riemannian-geometry