New posts in partial-differential-equations

Are weak derivatives and distributional derivatives different?

real-analysis functional-analysis partial-differential-equations distribution-theory weak-derivatives

Why are certain PDE called "elliptic", "hyperbolic", or "parabolic"?

partial-differential-equations terminology conic-sections

Drum PDEs, Double Fourier Expansions, and Synthesis

partial-differential-equations fourier-analysis fourier-series wave-equation music-theory

Heat Equation with X> 0

partial-differential-equations heat-equation

Why separation of variables works in PDEs?

partial-differential-equations

Solve $u_{x_1}u_{x_2} = u$ with $u(0,x_2)=x_2^2$

partial-differential-equations initial-value-problems characteristics

Question about characteristics and classification of second-order PDEs

partial-differential-equations characteristics

Find weak solution to Riemann problem for conservation law

partial-differential-equations hyperbolic-equations

Solve $u_{xx}-3u_{xt}-4u_{tt}=0$ where $u(x,0)=x^2$ and $u_t(x,0)=e^x$

partial-differential-equations

Partial differential equations in "pure mathematics"

soft-question partial-differential-equations

Is there a vector field that is equal to its own curl?

multivariable-calculus partial-differential-equations vector-analysis vector-fields curl

Intuitive explanation of the difference between waves in odd and even dimensions

partial-differential-equations intuition wave-equation

Sobolev space $H^s(\mathbb{R}^n)$ is an algebra with $2s>n$

partial-differential-equations fourier-analysis sobolev-spaces distribution-theory

What kind of partial differential equation is this？

partial-differential-equations

Riemann problem of nonconvex scalar conservation laws

partial-differential-equations hyperbolic-equations

Why are mathematician so interested to find theory for solving partial differential equations but not for integral equation?

ordinary-differential-equations partial-differential-equations soft-question integral-equations

Is the problem that Prof Otelbaev proved exactly the one stated by Clay Mathematics Institute?

analysis partial-differential-equations fluid-dynamics

On a step in Brezis-Merle's inequality

real-analysis calculus functional-analysis partial-differential-equations harmonic-analysis

Solve $u_x + u_y + u = e^{x+2y}$

partial-differential-equations

how to solve $ {\partial u \over \partial t} - k {\partial ^2 u \over \partial x^2} =0$ [duplicate]

partial-differential-equations