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Results tagged with cauchy-problem
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user 124904
3
votes
Accepted
$u_t=Au+F(u)$ where $A$ is the infinitesimal generator of $C_0$-semigroup
Yes the theorem is true in the general case. The semigroup is assumed to be contractive for the sake of simplicity. Of course the assumption is not restrictive since there is always an equivalent norm …
- 571
1
vote
Variational formulation of abstract Cauchy problem, possible?
See the book of A. Bensoussane et al. for different notions of solutions in section: 3 Nonhomogeneous linear evolution equations, especially Proposition 3.1 and 3.2 where it is proved that some of the …
- 571