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Critical Parabolic-Type Problems

This self-contained book covers the theory of semilinear equations with sectorial operator going back to the studies of Yosida, Henry, and;

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Fractional-in-Time Semilinear Parabolic Equations and Applications

This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional;

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Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional;

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Theory and Applications of Abstract Semilinear Cauchy Problems

monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and;

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Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications;

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Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications;

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Lectures on the Analysis of Nonlinear Partial Differential Equations

elliptic free boundary problems; Alexis Vasseur, on the De Giorgi method for elliptic and parabolic equations; Jiahong Wu, on 2D Boussinesq;

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Semilinear Evolution Equations and Their Applications

and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various;

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Semilinear Evolution Equations and Their Applications

and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various;

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Metasolutions of Parabolic Equations in Population Dynamics

dynamics of a generalized prototype of semilinear parabolic logistic problem. Highlighting the author's advanced work in the field, it covers the;

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Metasolutions of Parabolic Equations in Population Dynamics

dynamics of a generalized prototype of semilinear parabolic logistic problem. Highlighting the author's advanced work in the field, it covers the;

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Abstract Parabolic Evolution Equations and Lojasiewicz Simon Inequality II

utilizing the theory of abstract parabolic evolution equations and the Lojasiewicz-Simon gradient inequality. In the first volume of the same title;

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Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales

Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to;

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Co-Semigroups and Applications

differential equations, i.e. elliptic and parabolic systems with dynamic boundary conditions, and linear or semilinear differential equations with;

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Attractors for Degenerate Parabolic Type Equations

parabolic equations, both semilinear and quasilinear, are systematically studied in terms of their global and exponential attractors. The long-time;

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Time Fractional Differential Equations

This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional;

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Fractional Differential Equations

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for;

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Analytic Semigroups and Semilinear Initial Boundary Value Pr

A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic;

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Blow-up Theories for Semilinear Parabolic Equations

There is an enormous amount of work in the literature about the blow-up behavior of evolution equati;...

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Lectures on the Analysis of Nonlinear Partial Differential Equations

controllability of Navier-Stokes equations; and Jiahong Wu, on 2D magnetohydrodynamic equations with partial or fractional dissipation.;

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Fractional Calculus

The first volume of this two-volume book, presents history, the mathematical modelling and the applications of fractional order systems;

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Fractional Differential Equations

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous;

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Functional and Impulsive Differential Equations of Fractional Order

, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books;

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Functional and Impulsive Differential Equations of Fractional Order

, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books;

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Differential Equations in Banach Spaces

book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations;

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Differential Equations in Banach Spaces

book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations;

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Methods of Mathematical Modelling: Fractional Differential Equations

This book features original research articles on the topic of mathematical modelling and fractional differential equations. The;

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