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If $S(t)$ is a $C_0$-semigroup, is $S(t-s)f(s)$ Bochner integrable?

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#partial-differential-equations #banach-spaces #semigroup-of-operators #nonlinear-analysis #bochner-spaces
66
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Showing that the generator of the semigroup $(e^{tA})_{t\in\mathbb{R}}$ is $A$.

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#operator-theory #semigroup-of-operators
59
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On the semigroup of the diffusion equation.

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#operator-theory #semigroup-of-operators
129
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Example of semigroup of mappings

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#real-analysis #functional-analysis #analysis #sobolev-spaces #semigroup-of-operators
78
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generator of semigroup of multiplication operators on $L^p$

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#real-analysis #functional-analysis #lp-spaces #semigroup-of-operators
66
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About EXISTENCE for PDE

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#partial-differential-equations #numerical-methods #regularity-theory-of-pdes #semigroup-of-operators #delay-differential-equations
31
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a set spans space

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#linear-algebra #functional-analysis #operator-theory #semigroup-of-operators
19
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Tensor product of simple semigroup

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#operator-theory #tensor-products #semigroup-of-operators
17
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If is $P(S(4^{-k}))$ true so $P(S(t))$ is too true?

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#partial-differential-equations #semigroup-of-operators
32
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If $A$ is local, and $x$ is a point of relative maximum for $f$, then $Af(x)\le 0$,(Markov transition functions)

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#probability-theory #stochastic-processes #markov-process #semigroup-of-operators
75
Views

Duhamel's formula for a critical operator

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#partial-differential-equations #semigroup-of-operators
683
Views

Motivation of the Proof of the Hille-Yosida Theorem

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#functional-analysis #ordinary-differential-equations #spectral-theory #semigroup-of-operators #parabolic-pde
116
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Help understanding exponential in Feynman-Kac proof

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#functional-analysis #mathematical-physics #heat-equation #semigroup-of-operators #functional-calculus
79
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Nonlinear semi group

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#partial-differential-equations #reference-request #operator-theory #semigroup-of-operators
129
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Estimative for Heat semigroup : heat equation with a potential

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#partial-differential-equations #heat-equation #semigroup-of-operators

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