Abstract Parabolic Evolution Equations and their Applications
From MaRDI portal
Publication:3655792
DOI10.1007/978-3-642-04631-5zbMath1190.35004OpenAlexW2227711184MaRDI QIDQ3655792
Publication date: 13 January 2010
Published in: Springer Monographs in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-04631-5
semigroup theoryactivator-inhibitor modelchemotaxis modelLotka-Volterra competition modelphase transition modelsemiconductor modelforest kinematic modelBelousov-Zhaboyinskii reaction modellinear, semilinear and quasilinear abstract parabolic evolution equationstermite mound building model
One-parameter semigroups and linear evolution equations (47D06) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Parabolic equations and parabolic systems (35Kxx)
Related Items (only showing first 100 items - show all)
On a generalized diffusion problem: a complex network approach ⋮ Stability results for backward heat equations with time-dependent coefficient in the Banach space \(L_p (\mathbb{R})\) ⋮ Spatio-temporal coexistence in the cross-diffusion competition system ⋮ Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay ⋮ Turing and Turing-Hopf bifurcations for a reaction diffusion equation with nonlocal advection ⋮ Stable and center-stable manifolds of admissible classes for partial functional differential equations ⋮ Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation ⋮ Nonlinear parabolic stochastic evolution equations in critical spaces. II: Blow-up criteria and instantaneous regularization ⋮ Avian-human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment ⋮ Regularity of solutions of abstract linear evolution equations ⋮ The Fujita-Kato approach for the Navier-Stokes equations with moving boundary and its application ⋮ Topological structure of the solution set for a Volterra-type nonautonomous evolution inclusion with impulsive effect ⋮ Regularization and convergence for ill-posed backward evolution equations in Banach spaces ⋮ Existence results for linear evolution equations of parabolic type ⋮ Strong solutions of semilinear stochastic partial differential equations ⋮ Topological structural stability of partial differential equations on projected spaces ⋮ Reaction-diffusion systems with supercritical nonlinearities revisited ⋮ Instability of all regular stationary solutions to reaction-diffusion-ODE systems ⋮ Global existence and Hadamard differentiability of hysteresis reaction-diffusion systems ⋮ Asymptotic behaviour of the solutions to a virus dynamics model with diffusion ⋮ Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation ⋮ Analysis of a degenerate biofilm model with a nutrient taxis term ⋮ Pathwise mild solutions for quasilinear stochastic partial differential equations ⋮ Inertial manifolds for partial neutral functional differential equations in admissible spaces ⋮ Global existence for Laplace reaction-diffusion equations ⋮ Asymptotic convergence of solutions of Keller-Segel equations in network shaped domains ⋮ Global solutions and random dynamical systems for rough evolution equations ⋮ Inter-species competition and chemorepulsion ⋮ Integral manifolds for semilinear evolution equations and admissibility of function spaces ⋮ Characterizations of domains of fractional powers for non-negative operators ⋮ Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type ⋮ Maximal regularity for non-autonomous stochastic evolution equations in UMD Banach spaces ⋮ Numerical solution of time-dependent problems with fractional power elliptic operator ⋮ Global existence of solutions to an \(n\)-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production ⋮ Navier-Stokes equation and its fractional approximations ⋮ Mechanisms of climate homeostasis in Daisyworld and spatial segregation patterns ⋮ Fractional approximations of abstract semilinear parabolic problems ⋮ Quasilinear parabolic stochastic evolution equations via maximal \(L^p\)-regularity ⋮ Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle-Matérn fields ⋮ Mathematical treatment of PDE model of chemotactic \textit{E. coli} colonies ⋮ Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source ⋮ On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis ⋮ Nonlocal solutions of parabolic equations with strongly elliptic differential operators ⋮ Existence and regularity of solutions to time-fractional diffusion equations ⋮ Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem ⋮ Invariant stable manifolds for partial neutral functional differential equations in admissible spaces on a half-line ⋮ Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion ⋮ Stable patterns with jump discontinuity in systems with Turing instability and hysteresis ⋮ Complex attractors and patterns in reaction-diffusion systems ⋮ A sustainability condition for stochastic forest model ⋮ Solvability of initial boundary value problems for non-autonomous evolution equations ⋮ On the Morse-Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half ⋮ Instability of Turing patterns in reaction-diffusion-ODE systems ⋮ Unstable manifolds for partial neutral differential equations and admissibility of function spaces ⋮ A semilinear heat equation with initial data in negative Sobolev spaces ⋮ Mathematical analysis of a chemotaxis-type model of soil carbon dynamic ⋮ Non-autonomous stochastic evolution equations in Banach spaces of martingale type 2: strict solutions and maximal regularity ⋮ The quasilinear parabolic Kirchhoff equation ⋮ Dynamical system for animal coat pattern model ⋮ POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations ⋮ On some inverse problems for first order operator-differential equations ⋮ Heinz-Kato inequality in Banach spaces ⋮ Existence of incompressible and immiscible flows in critical function spaces on bounded domains ⋮ Exponential attractors for non-autonomous dissipative system ⋮ Funnel control for the monodomain equations with the FitzHugh-Nagumo model ⋮ Bifurcations and synchronization in networks of unstable reaction-diffusion systems ⋮ Stochastic partial differential equation models for spatially dependent predator-prey equations ⋮ Distance of attractors of reaction-diffusion equations in thin domains ⋮ Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation ⋮ Strict solutions to stochastic semilinear evolution equations in M-type 2 Banach spaces ⋮ Numerical verification for existence of a global-in-time solution to semilinear parabolic equations ⋮ 2D quasi-geostrophic equation; sub-critical and critical cases ⋮ Asymptotic convergence of solutions for Laplace reaction-diffusion equations ⋮ An analytic semigroup generated by a fractional differential operator ⋮ Stable manifolds for some partial neutral functional differential equations with non-dense domain ⋮ Dynamics of parabolic equations via the finite element method. I: Continuity of the set of equilibria. ⋮ An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions ⋮ Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces ⋮ Global attractor for a two-dimensional chemotaxis system with linear degradation and indirect signal production ⋮ Critical and super-critical abstract parabolic equations ⋮ Constrained semilinear elliptic systems on \(\mathbb{R}^N\) ⋮ Stability of constant steady states of a chemotaxis model ⋮ The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary ⋮ Mathematical modeling of forest ecosystems by a reaction-diffusion-advection system: impacts of climate change and deforestation ⋮ Rigorous numerical computations for 1D advection equations with variable coefficients ⋮ First-order regular and degenerate identification differential problems ⋮ Analysis of a quasi-reversibility method for nonlinear parabolic equations with uncertainty data ⋮ Local mild solutions for rough stochastic partial differential equations ⋮ Variational source conditions for inverse Robin and flux problems by partial measurements ⋮ Trotter-Daletskii formula for nonlinear disturbances ⋮ Spatial dynamics of an epidemic model in time almost periodic and space periodic media ⋮ Nonautonomous semilinear Wentzell problems in fractal domains ⋮ Optimal control for a chemotaxis-haptotaxis model in two space dimensions ⋮ Quasi-geostrophic equation in \(\mathbb{R}^2\) ⋮ Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source ⋮ Cauchy problem for non-autonomous fractional evolution equations ⋮ Hölder regularity for non-autonomous fractional evolution equations ⋮ Optimal control of a fully parabolic attraction-repulsion chemotaxis model with logistic source in 2D ⋮ Unstable manifolds for partial functional differential equations in admissible spaces on the whole line ⋮ Numerical solution of nonstationary problems for a space-fractional diffusion equation
This page was built for publication: Abstract Parabolic Evolution Equations and their Applications
