New posts in partial-differential-equations

Good PDE books for a graduate student?

$u_x + u^2u_y = 1$ with $u(x,0)=1$

Weak solutions to the Neumann's problem (Evans PDE)

Why are harmonic functions called harmonic functions?

Solve initial value problem for $u_{tt} - u_{xx} - u = 0$ using characteristics

Local Existence for Heat equation with Lipschitz nonlinearity

viscosity solution vs. weak solution

What is the purpose of computing the eigenvalue of a PDE problem?

How to optimise a toothpaste tube / moisturiser squeeze tube? I am trying to find the least surface area to volume ratio. [closed]

Argue that $\gamma_0$ cannot be a maximum of the action

Inhomogenous nonlinear transport equation $u_t+uu_x = -Du$

Strong solution of inviscid Burgers' equation with initial data $u(x,0)=x^2$

Regularity of PDEs, general question (Example: Kolmogorov equation)

Seeking Fourier series solution on Laplace equation...still looking, am I on track?

Uniform Convergence of Difference Quotients to Partial Derivative

Method of charactersitics and second order PDE.

How to integrate PDEs back to the original function, e.g. $x e^{-x^2-y^2}$? (Generic or numeric approaches are welcome.)

Blow up of a solution

Sign of Laplacian at critical points of $\mathbb R^n$

Correct spaces for quantum mechanics