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Results tagged with differential-equations
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user 480000
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
4
votes
1
answer
329
views
Conditions for the existence of a solution to a semilinear second-order PDE with a-priori bo...
Consider the general semilinear elliptic second-order PDE
$$
u_t-\mathcal L u=f\left(t,x,u,\nabla u\right)
$$
where $\mathcal L$ is an elliptic linear operator (like minus the Laplace operator), $t \i …
- 91
2
votes
Accepted
Conditions for the existence of a solution to a semilinear second-order PDE with a-priori bo...
After a lot of reading, I came across the (enlightening) paper:
On principally linear elliptic differential equations of the second order, Nagumo 1954.
Basically, the (classical) results there shows t …
- 91