query: Evans PDE(2nd edition) Problem 5.11: If $Du=0$ a.e. , does $u=c$ a.e.?
positive_passages.docid: 142596
positive_passages.text: Evans PDE Chapter 5 Problem 11: Does $Du=0$ a.e. implie $u=c$ a.e.?
negative_passages.docid: 73099
negative_passages.text: Why is $d(x^2)= 2xdx$?
negative_passages.docid: 16474
negative_passages.text: Numerical solution to PDE seems to contradict initial values
negative_passages.docid: 34147
negative_passages.text: $\|u\|\leq \|u+av\| \Longrightarrow \langle u,v\rangle=0$
negative_passages.docid: 14656
negative_passages.text: The differential equation $xu_{x}+yu_{y}=2u$ satisfying the initial condition $y=xg(x),u=f(x)$
negative_passages.docid: 9143
negative_passages.text: Solve $u_{xx}-3u_{xt}-4u_{tt}=0$ where $u(x,0)=x^2$ and $u_t(x,0)=e^x$
negative_passages.docid: 136506
negative_passages.text: Help with an integral for: If U has a $\chi^2$ distribution with v df, find E(U) and V(U)
negative_passages.docid: 122561
negative_passages.text: Is the energy always discrete?
negative_passages.docid: 125026
negative_passages.text: When does order of partial derivatives matter?
negative_passages.docid: 27812
negative_passages.text: Understanding the differential $dx$ when doing $u$-substitution
negative_passages.docid: 79822
negative_passages.text: Problems with partial derivatives.
negative_passages.docid: 48563
negative_passages.text: If $\Gamma^k_{ij}(p)=0$, then $\nabla_{E_i}E_j (p)=0?$
negative_passages.docid: 91359
negative_passages.text: Are these mixed partial derivatives equal?
negative_passages.docid: 29022
negative_passages.text: Linearization of PDE: $0$ is an eigenvalue since all translates of travelling waves are also travelling waves
negative_passages.docid: 109109
negative_passages.text: Show that $E(XE[X|G])=E[(E[X|G)^2]$
negative_passages.docid: 128875
negative_passages.text: Expectation values of the position operator is equal to zero in case of even potentials?
negative_passages.docid: 55188
negative_passages.text: Second order ODE - why the extra X for the solution?