Journal of Evolution Equations

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The Cayley transform of the generator of a polynomially stable $$C_0$$-semigroup
Journal of Evolution Equations - Tập 21 Số 4 - Trang 4575-4597 - 2021
Masashi Wakaiki
AbstractIn this paper, we study the decay rate of the Cayley transform of the generator of a polynomially stable $$C_0$$ hiện toàn bộ
Weak and strong solvability of parabolic variational inequalities in Banach spaces
Journal of Evolution Equations - Tập 4 - Trang 497-517 - 2004
Matthew Rudd
We consider parabolic variational inequalities having the strong formulation (1) $$ \left\{ {\begin{array}{*{20}c} {\left\langle {u'(t),\,v - \left. {u(t)} \right\rangle + \left\langle {Au(t),} \right.\,v - \left. {u(t)} \right\rangle + \Phi (v) - \Phi (u(t) \geq 0,} \right.} \\ {\forall v \in V^{**...... hiện toàn bộ
Diffusion-dominated asymptotics of solution to chemotaxis model
Journal of Evolution Equations - Tập 11 - Trang 509-529 - 2011
Andrzej Raczyński
The paper contains results on the asymptotic behavior, as t → +∞, of small solutions to simplified Keller–Segel problem modeling chemotaxis in the whole space $${\mathbb R^2}$$ . We prove that the multiple of the heat kernel is a surprisingly good approximation of solutions.
Mathematical analysis of a scalar multidimensional conservation law with discontinuous flux
Journal of Evolution Equations - - 2011
Julien Jimenez
The limitations of the Poincaré inequality for Grušin type operators
Journal of Evolution Equations - Tập 14 - Trang 535-563 - 2014
Derek W. Robinson, Adam Sikora
We examine the validity of the Poincaré inequality for degenerate, second-order, elliptic operators H in divergence form on $${L_2(\mathbf{R}^{n}\times \mathbf{R}^{m})}$$ . We assume the coefficients are real symmetric and ...... hiện toàn bộ
Analyticity of solutions to fully nonlinear parabolic evolution equations on symmetric spaces
Journal of Evolution Equations - Tập 3 Số 4 - Trang 549-576 - 2003
Joachim Escher, Gieri Simonett
Homogeneous Sobolev global-in-time maximal regularity and related trace estimates
Journal of Evolution Equations - Tập 24 - Trang 1-30 - 2024
Anatole Gaudin
In this paper, we prove global-in-time $$\dot{\textrm{H}}^{\alpha ,q}$$ -maximal regularity for a class of injective, but not invertible, sectorial operators on a UMD Banach space X, provided $$q\in (1,+\infty )$$ ...... hiện toàn bộ
Higher-dimensional moving singularities in a superlinear parabolic equation
Journal of Evolution Equations - Tập 18 Số 4 - Trang 1575-1593 - 2018
Khin Phyu Phyu Htoo, Jin Takahashi, Eiji Yanagida
An inhomogeneous nonlocal diffusion problem with unbounded steps
Journal of Evolution Equations - Tập 16 - Trang 209-232 - 2015
Carmen Cortázar, Manuel Elgueta, Jorge García-Melián, Salomé Martínez
We consider the following nonlocal equation $$\int J\left(\frac{x-y}{g(y)} \right) \frac{u(y)}{g(y)} dy -u(x)=0\qquad x\in \mathbb{R},$$ where J is an even, compactly supported, Hölder continuous kernel with unit integral and g is a continuous pos...... hiện toàn bộ
Uniqueness for degenerate parabolic equations in weighted $$L^1$$ spaces
Journal of Evolution Equations - Tập 22 - Trang 1-30 - 2022
Camilla Nobili, Fabio Punzo
We study uniqueness of solutions to degenerate parabolic problems, posed in bounded domains, where no boundary conditions are imposed. Under suitable assumptions on the operator, uniqueness is obtained for solutions that satisfy an appropriate integral condition; in particular, such condition holds for possibly unbounded solutions belonging to a suitable weighted ...... hiện toàn bộ
Tổng số: 787   
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