Solvability of Cauchy's problem in R 2 for subcritical quasi-geostrophic equation is
discussed here in two phase spaces; L p (R 2) with p> 2 2 α− 1 and H s (R 2) with s> 1. A …

This self-contained book covers the theory of semilinear equations with sectorial operator
going back to the studies of Yosida, Henry, and Pazy, which are deeply extended nowadays …

Solvability of Dirichlet's problem for the subcritical fractional Burgers equation is discussed
here in the base spaces D ((−∆) s 2), s≥ 0 fixed. A unique solution in the critical case (α= 1 …

Solvability of Dirichlet's problem for the subcritical fractional Burgers equation is discussed
here in two base spaces: $ L^ 2 (I) $ and $ H^ s (I) $ with $ s\gt {1/2} $. A solution in the …

Solvability of Cauchy's problem in for fractional Hamilton–Jacobi equation (1.1) with
subcritical nonlinearity is studied here both in the classical Sobolev spaces and in the locally …

In this paper, we first prove the well-posedness for the nonautonomous reaction-diffusion
equations with fractional diffusion in the locally uniform spaces framework. Under very …

We consider the MHD system in a bounded domain Ω⊂ RN, N= 2, 3, with Dirichlet boundary
conditions. Using Dan Henry's semigroup approach and Giga–Miyakawa estimates we …

Н жгйв в ж а и з Н НКН Чж ж в игдгаг н Н НКО Ф в жИ вгва в жИ в гвк м в анз з НКОК Ф в ж
йв и гв а в анз з НМ НКОК гвк м з из Н НКОК Х вз г гви вйгйз йв и гвз Н НКОК Ыгак в зиж и …

We study a transmission problem, in population dynamics, between two juxtaposed habitats.
In each habitat, we consider a generalized diffusion equation composed by the Laplace …

Solvability of Cauchy's problem in R2 for subcritical quasi-geostrophic equation is discussed
here in phase spaces Hs (R2) with s> 1. A solution to that equation in critical case is …