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This article concerns the existence and uniqueness of almost automorphic solutions to the semilinear parabolic boundary differential equations $$displaylines{ x'(t)=A_mx(t)+f(t,x(t)), quad tin mathbb{R}, cr Lx(t)=phi(t,x(t)), quad tin mathbb{R}, }$$
Indira Mishra, Dhirendra Bahuguna
doaj
Resolvent estimates for elliptic systems in function spaces of higher regularity
We consider parameter-elliptic boundary value problems and uniform a priori estimates in $L^p$-Sobolev spaces of Bessel potential and Besov type. The problems considered are systems of uniform order and mixed-order systems (Douglis-Nirenberg systems).
Robert Denk, Michael Dreher
doaj
WELL-POSEDNESS OF A MATHEMATICAL MODEL OF DIABETIC ATHEROSCLEROSIS. [PDF]
Xie X.
europepmc +1 more source
Ramifications of generalized Feller theory. [PDF]
Cuchiero C, Möllmann T, Teichmann J.
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The Markovian Shot-noise Risk Model: A Numerical Method for Gerber-Shiu Functions. [PDF]
Pojer S, Thonhauser S.
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Stochastically evolving graphs via edit semigroups. [PDF]
Chung F, Robertson SJ.
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Ornstein-Uhlenbeck semigroups in infinite dimension. [PDF]
Lunardi A, Pallara D.
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Analytical and numerical properties of an extended angiogenesis PDEs model. [PDF]
De Luca P, Marcellino L.
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Mathematical modelling and analysis of the adaptive dynamics in mosquito populations: uniform persistence of malaria infection. [PDF]
Diop B, Ducrot A, Seydi O.
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The Ornstein-Uhlenbeck semigroup in finite dimension. [PDF]
Lunardi A, Metafune G, Pallara D.
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