By Victor A. Galaktionov,Enzo L. Mitidieri,Stanislav I. Pohozaev
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations indicates how 4 varieties of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities via their specific quasilinear degenerate representations. The authors current a unified method of take care of those quasilinear PDEs.
The ebook first stories the actual self-similar singularity strategies (patterns) of the equations. This procedure permits 4 varied sessions of nonlinear PDEs to be taken care of concurrently to set up their outstanding universal good points. The e-book describes many homes of the equations and examines conventional questions of existence/nonexistence, uniqueness/nonuniqueness, worldwide asymptotics, regularizations, shock-wave idea, and diverse blow-up singularities.
Preparing readers for extra complex mathematical PDE research, the e-book demonstrates that quasilinear degenerate higher-order PDEs, even unique and awkward ones, will not be as daunting as they first seem. It additionally illustrates the deep good points shared by way of different types of nonlinear PDEs and encourages readers to advance extra this unifying PDE method from different viewpoints.
Read or Download Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) PDF
Similar differential equations books
Incorporating a couple of improvements, resolution strategies for ordinary Partial Differential Equations, moment version offers probably the most vital and ordinary tools for fixing partial differential equations (PDEs). The recommendations coated contain separation of variables, approach to features, eigenfunction growth, Fourier and Laplace modifications, Green’s services, perturbation tools, and asymptotic research.
Written by means of a number one student in arithmetic, this monograph discusses the Radon remodel, a box that has large ranging purposes to X-ray expertise, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this publication, Ehrenpreis makes a speciality of fresh examine and highlights the robust dating among high-level natural arithmetic and purposes of the Radon rework to parts equivalent to clinical imaging.
This monograph is meant to give the basics of the idea of summary parabolic evolution equations and to teach the best way to follow to numerous nonlinear dif- sion equations and structures coming up in technology. the idea provides us a uni? ed and s- tematic remedy for concrete nonlinear diffusion versions.
Clinical Computing and Differential Equations: An advent to Numerical tools, is a superb supplement to advent to Numerical tools via Ortega and Poole. The publication emphasizes the significance of fixing differential equations on a working laptop or computer, which includes a wide a part of what has become known as medical computing.
Extra resources for Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)