Abstract Parabolic Evolution Equations and their Applications

By A. Yagi. 2009

407 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Boundedness and global existence in the higher-dimensional parabolic–parabolic chemotaxis system with/without growth source (2015, unknown): “17) For 0 ≤ s0 < s ≤ s1 < ∞, H(Ω) is the interpolation space [Hs0(Ω), Hs1(Ω)]θ , s = θs0 + (1 − θ)s1, between H0(Ω) and H1(Ω), and the following estimate holds [57]: ‖w‖Hs ≤ C‖w‖Hs0‖w‖ H1 .”
Degenerate parabolic stochastic partial differential equations (2013, background): “The literature devoted to the existence of a classical solution to deterministic parabolic problems is quite extensive, let us mention for instance the works of Friedman [25], Grunau, von Wahl [28], Ladyzhenskaya, Solonnikov, Ural’ceva [51], Lieberman [53], von Wahl [77], Yagi [79] and the reference”
Regularity of spectral fractional Dirichlet and Neumann problems (2014, background): “11 of [49] implies that the fractional powers (AB) in L p( ) for 0 < a < 1 have domains”
Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications (2013, unknown): “26 in [24]) we conclude y(s+ 1) ≤ κ‖u− v‖W , for some constant κ > 0.”
Existence and regularity results of a backward problem for fractional diffusion equations (2019, background): “Moreover, By using (25), (15) and (i) in Lemma 2.”