By Victor A. Galaktionov,Enzo L. Mitidieri,Stanislav I. Pohozaev
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations indicates how 4 kinds of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities via their specified quasilinear degenerate representations. The authors current a unified method of care for those quasilinear PDEs.
The ebook first experiences the actual self-similar singularity recommendations (patterns) of the equations. This strategy permits 4 diversified sessions of nonlinear PDEs to be taken care of concurrently to set up their impressive universal beneficial properties. The e-book describes many houses of the equations and examines conventional questions of existence/nonexistence, uniqueness/nonuniqueness, international asymptotics, regularizations, shock-wave concept, and numerous blow-up singularities.
Preparing readers for extra complex mathematical PDE research, the ebook demonstrates that quasilinear degenerate higher-order PDEs, even unique and awkward ones, are usually not as daunting as they first seem. It additionally illustrates the deep beneficial properties shared by means of various kinds of nonlinear PDEs and encourages readers to increase additional this unifying PDE procedure from different viewpoints.
Read Online or Download Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) PDF
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Additional resources 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