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Degenerate Nonlinear Diffusion Equations

The aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion;

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Attractors for Degenerate Parabolic Type Equations

, ecological, and physical problems. Examples include porous media equations, $p$-Laplacian and doubly nonlinear equations, as well as degenerate;

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Handbook of Differential Equations: Evolutionary Equations

; L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systems A.Lunardi: Nonlinear parabolic equations and systems D.Serre:L1-stability;

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Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schroedinger Equations shows how four types of higher-order nonlinear;

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Numerical Bifurcation Analysis for Reaction-Diffusion Equations

thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion;

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Leading-Edge Research on Evolution Equations

This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well;

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Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference;

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Modeling By Nonlinear Differential Equations

This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many;

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Nonlinear Reaction-Diffusion-Convection Equations

It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs;

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Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

, including reaction-diffusion and gas dynamics models, thin-film and Kuramoto-Sivashinsky equations, nonlinear dispersion (compacton) equations, KdV;

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Nonlinear Analysis and Global Optimization

This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are;

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The Time-Discrete Method of Lines for Options and Bonds

Few financial mathematical books have discussed mathematically acceptable boundary conditions for the degenerate diffusion equations;

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Nonlinear Diffusive Waves

discusses fully the mathematical properties of standard nonlinear diffusion equations, and contrasts them with those of Burgers' equation;

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Fourier Series in Several Variables with Applications to Partial Differential Equations

equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between;

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Fourier Series in Several Variables with Applications to Partial Differential Equations

equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between;

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Geometrical Optics and Related Topics

, uniqueness results for systems of conservation laws in 1-D, conservation effects for critical nonlinear wave equations, diffraction of nonlinear;

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Explosive Instabilities in Mechanics

begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Among the topics presented are: classical fluid;

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Degenerate Differential Equations in Banach Spaces

This work presents a detailed study of linear abstract degenerate differential equations, using both;...

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Nonlinear Equations for Beams and Degenerate Plates with Piers

, in particular the behavior of the eigenvalues as the position of the piers varies, enables the authors to tackle the stability issue for some nonlinear;

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The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Levy Noise

This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary;

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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I

abstract results to a wider class of concrete nonlinear parabolic equations, the usual Lojasiewicz-Simon inequality is extended, which is published;

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Flow in Porous Media

-diffusion instabilities and moving boundaries, random and fractal media, microstructure models, homogenization, spatial heterogeneties, inverse;

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Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

This book discusses almost periodic and almost automorphic solutions to abstract integro-differentia;...

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Partial Differential Equations III

of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion;

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Partial Differential Equations

develops the relevant existence schemes, always with a view towards nonlinear problems. It also develops the main methods for obtaining estimates;

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Relative Optimization of Continuous-Time and Continuous-State Stochastic Systems

following distinguishing features: long-run average with no under-selectivity, non-smooth value functions with no viscosity solutions, diffusion;

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Relative Optimization of Continuous-Time and Continuous-State Stochastic Systems

following distinguishing features: long-run average with no under-selectivity, non-smooth value functions with no viscosity solutions, diffusion;

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