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Results tagged with reference-request
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user 132487
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
0
answers
138
views
How to prove the existence of weak solutions of parabolic PDEs using Rothe's method?
I am reading a textbook on PDE (Introduction to Elliptic and Parabolic Partial Differential Equations by Z. Wu, J. Yin and C. Wang, written in Chinese) where a proof of the existence of weak solutions …
- 51
1
vote
0
answers
36
views
Are there maximum principles related to the third boundary condition?
I am working on this problem
\begin{equation}
\begin{cases}
u''(s)+\frac{2}{s} u'(s)=R^2 f(u) \quad \text{ for } \eta<s<1, \\
u'(\eta)=0, \ u'(1)+\beta R (u(1)-\bar{\sigma})=0,
\end{cases}
\end{equati …
- 51
1
vote
0
answers
76
views
While doing Lp estimates, is the constant C monotonically increasing with respect to the par...
For example, consider the third boundary value problem:
\begin{align}
&\frac{\partial u}{\partial t}-\sum_{i,j=1}^n a_{ij}(x,t) \frac{\partial^2 u}{\partial x_i \partial x_j} + \sum_{i=1}^n b_i(x, …
- 51