By Victor A. Galaktionov,Enzo L. Mitidieri,Stanislav I. Pohozaev
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations exhibits how 4 varieties of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities via their unique quasilinear degenerate representations. The authors current a unified method of care for those quasilinear PDEs.
The ebook first reviews the actual self-similar singularity suggestions (patterns) of the equations. This process permits 4 assorted sessions of nonlinear PDEs to be handled concurrently to set up their outstanding universal gains. The e-book describes many houses of the equations and examines conventional questions of existence/nonexistence, uniqueness/nonuniqueness, international asymptotics, regularizations, shock-wave conception, and diverse blow-up singularities.
Preparing readers for extra complicated mathematical PDE research, the e-book demonstrates that quasilinear degenerate higher-order PDEs, even unique and awkward ones, aren't as daunting as they first look. It additionally illustrates the deep positive aspects shared via various kinds of nonlinear PDEs and encourages readers to advance additional this unifying PDE technique from different viewpoints.
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Extra info for Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Victor A. Galaktionov,Enzo L. Mitidieri,Stanislav I. Pohozaev