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Blow-up in Nonlinear Sobolev Type Equations

studying blow-up phenomena for nonlinear Sobolev-type equations is applied to equations which play an important role in physics. For instance;

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Nonlinear Potential Theory and Weighted Sobolev Spaces

The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually;

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Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45)

is known as the integral theory for blow-up. In this book, the authors develop the pointwise theory for blow-up. They introduce new ideas and;

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Explosive Instabilities in Mechanics

equations, catastrophic behavior in nonlinear fluid theories, blow-up in Volterra equations, and rapid energy growth in parallel flows.;

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Blow-Up in Nonlinear Equations of Mathematical Physics

The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations;

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

properties of blow-up or extinction phenomena, finite interface propagation, and the oscillatory, changing sign behavior of weak solutions near;

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Solitons

of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum;

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Nonlinear Analysis and Applications

of 45 research papers from distinguished experts from a variety of research areas. Topics include monotonicity and compact methods, blow up and;

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Beyond Sobolev and Besov

of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type;

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Singular Elliptic Problems

. There are carefully analyzed logistic type equations with boundary blow-up solutions and generalized Lane-Emden-Fowler equations or Gierer;

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Partial Differential Equations III

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations;

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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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Discovering Evolution Equations with Applications

equations. Subsequent chapters then focus on linear homogenous abstract, nonhomogenous linear, semi-linear, functional, Sobolev-type, neutral, delay;

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Discovering Evolution Equations with Applications

equations. Subsequent chapters then focus on linear homogenous abstract, nonhomogenous linear, semi-linear, functional, Sobolev-type, neutral, delay;

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Aspects Of Sobolev-Type Inequalities

This book, first published in 2001, focuses on Poincare, Nash and other Sobolev-type inequalities and their applications to the Laplace and;

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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 equations. It is our intention to introduce;

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Fourier Analysis and Partial Differential Equations

discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear;

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Stochastic Partial Differential Equations

nonlinear parabolic equations with Poisson noises Two sections on linear and semilinear wave equations driven by the Poisson type of noises;

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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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General Parabolic Mixed Order Systems in Lp and Applications

problems. We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity) which is the key step;

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Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems

and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based;

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Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems

and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based;

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Special Type of Nonlinear Partial Differential Equations

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Lyapunov Inequalities and Applications

inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial;

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Cambridge Studies in Advanced Mathematics

discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear;

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Vanishing Viscosity Method

science. Contents: Preface Sobolev Space and Preliminaries The Vanishing Viscosity Method of Some Nonlinear Evolution System The;

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