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.

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