query: Unbounded solutions of heat equation
positive_passages.docid: 29096
positive_passages.text: Non-uniqueness of solutions of the heat equation
negative_passages.docid: 45682
negative_passages.text: Show that there exists a unique $v_0 \in H^1(0,1)$ such that $u(0)=\int_0^1(u'v_0'+uv_0), \forall u \in H^1(0,1)$
negative_passages.docid: 140009
negative_passages.text: Show complex solutions exist
negative_passages.docid: 13829
negative_passages.text: PDE list of equations, derivative for boundarry condition evaluates to true
negative_passages.docid: 5295
negative_passages.text: Can the graph of a bounded function ever have an unbounded derivative?
negative_passages.docid: 93848
negative_passages.text: Proving energy conservation for wave equation
negative_passages.docid: 101619
negative_passages.text: Question involving the Cauchy-Goursat Theorem
negative_passages.docid: 101776
negative_passages.text: Bounded solution for an equation
negative_passages.docid: 83510
negative_passages.text: how to solve an ODE with boundary conditions $ y(0)=y(\infty) $ by shooting method
negative_passages.docid: 55966
negative_passages.text: Multiple solutions for a particle in an infinite potential well
negative_passages.docid: 14517
negative_passages.text: Existence of solutions of the equation with a limit.
negative_passages.docid: 62211
negative_passages.text: Partial Differential Equation $U_t - (U_x)^2 = 0$
negative_passages.docid: 126759
negative_passages.text: Unbounded continuous function on non-compact metric space
negative_passages.docid: 13506
negative_passages.text: Can an unbounded function have a finite integral?
negative_passages.docid: 36574
negative_passages.text: Does separation of variables in PDEs give a general solution?
negative_passages.docid: 90556
negative_passages.text: Proof of the unbounded-ness of $\sum_{n\geq 1}\frac{1}{n}\sin\frac{x}{n}$
negative_passages.docid: 150674
negative_passages.text: Uniqueness in existence of a bilinear form