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Generator of $C_0$-semigroup

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#functional-analysis #partial-differential-equations #semigroup-of-operators
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Exponential of the Laplacian operator as diffusion equation

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#functional-analysis #notation #differential-operators #semigroup-of-operators #functional-calculus
180
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Difference between Galerkin approximations and Yosida approximation in Open Problem Navier Stokes Equations

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#functional-analysis #partial-differential-equations #semigroup-of-operators #galerkin-methods
168
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Understanding motivation/background for the name "infinitesimal generator" of a continuous semigroup

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#functional-analysis #soft-question #operator-theory #terminology #semigroup-of-operators
35
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Proof of Fixed Point for nonlinear systems in Pazy's Semigroups of linear operators and applications to PDEs book

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#partial-differential-equations #fixed-point-theorems #semigroup-of-operators #nonlinear-analysis
70
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An identity of the resolvent operator of the Laplace operator

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#functional-analysis #operator-theory #semigroup-of-operators
66
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Pointwise differentiability and $H^2$-differentiability of solution to evolution equation

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#partial-differential-equations #heat-equation #semigroup-of-operators
84
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Ultracontractive semigroup generated by the fractional Laplacian

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#calculus #functional-analysis #semigroup-of-operators #functional-inequalities
118
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Converse of Dynkin's formula

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#stochastic-processes #stochastic-calculus #martingales #markov-process #semigroup-of-operators
38
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countable intersection of domain of densely defined operators is dense

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#general-topology #functional-analysis #operator-theory #banach-spaces #semigroup-of-operators
144
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Conditions for self-adjointness of unbounded operator

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#functional-analysis #partial-differential-equations #operator-theory #semigroup-of-operators
56
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Spacial regularity of heat equation with zero initial condition

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#functional-analysis #partial-differential-equations #heat-equation #semigroup-of-operators
170
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A doubt on Theorem 2.6 from Pazy's book

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#functional-analysis #partial-differential-equations #semigroup-of-operators #hyperbolic-equations #parabolic-pde
105
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Does the exponential operator $e^{tA}$ defined via functional calculus and via semi group coincide?

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#functional-analysis #operator-theory #spectral-theory #semigroup-of-operators #functional-calculus
32
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An inequality related to a semigroup of operators.

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#integration #inequality #semigroup-of-operators

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