query: How to deduce the boundary for heat ball?
positive_passages.docid: 142681
positive_passages.text: What does a "heat ball" look like?
negative_passages.docid: 154508
negative_passages.text: The energy method for $u_{tt}-du_t-u_{xx}=0, (0,1)\times(0,T) $
negative_passages.docid: 45363
negative_passages.text: Show that both mixed partial derivatives exist at the origin but are not equal
negative_passages.docid: 964
negative_passages.text: Inaccurate (non-smooth) boundary of the mesh generated by ToElementMesh
negative_passages.docid: 6035
negative_passages.text: Brachistochrone Problem for Inhomogeneous Potential
negative_passages.docid: 64688
negative_passages.text: extending convergence radius using one boundary point
negative_passages.docid: 49073
negative_passages.text: how to obtain solution for $u_t+u=u_{xx}$
negative_passages.docid: 53616
negative_passages.text: Boundary condition with spatial derivative is ignored by NDSolve
negative_passages.docid: 122593
negative_passages.text: What boundary is added when boundary condition is not sufficient?
negative_passages.docid: 60053
negative_passages.text: Does the boundary of an open set have measure zero (in $\mathbb{R}^n$)?
negative_passages.docid: 49061
negative_passages.text: Show that $\int_{\partial P}z\frac {f'(z)} {f(z)} dz $ is on the lattice $\Lambda$
negative_passages.docid: 44181
negative_passages.text: Volume of spherical shell with $dr$ thickness
negative_passages.docid: 105527
negative_passages.text: Show that $\lim_{r\to 0} \frac{1}{r^2}\int_{C_{r}}f(z)dz = 2 \pi i\frac{\partial f}{\partial \bar{z}}(z_0)$
negative_passages.docid: 29096
negative_passages.text: Non-uniqueness of solutions of the heat equation
negative_passages.docid: 69871
negative_passages.text: How to prove Poincaré-like inequality for the integral over the boundary?
negative_passages.docid: 119325
negative_passages.text: Finding the uniquely determined region of a PDE
negative_passages.docid: 69066
negative_passages.text: $\epsilon{\rm -}\delta$ proof of the discontinuity of Dirichlet's function