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Książka Studies in Nonlinear Evolution Equations Khedidja Abidi

Studies in Nonlinear Evolution Equations

Stability and Blow-Up

Autor: Khedidja Abidi
Język: Angielski
Oprawa: Miękka
Wydawca: KS OmniScriptum Publishing
Dostępność: Dostępna u dostawcy
Wysyłamy za 8-11 dni
245.08 zł
This book provides a comprehensive analysis of the long-term behavior of three important classes of...

Informacje o książce

Autor
Khedidja Abidi
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2026
strony
92
EAN
9786209677724
ISBN
620967772X
Enbook ID
51556401
Wydawca
KS OmniScriptum Publishing
Waga
137
Wymiary
152 x 229 x 6

Pełny opis

This book provides a comprehensive analysis of the long-term behavior of three important classes of nonlinear partial differential equations with complex structures. It investigates viscoelastic Petrovsky equations with strong damping and time-varying delay, Laplacian equations with variable exponent sources, and reaction-diffusion equations featuring singular coefficients and variable exponent nonlinearities. The work focuses on fundamental phenomena including finite-time blow-up, global existence, and energy decay. Key achievements include establishing sharp conditions for blow-up with explicit upper and lower time estimates, proving general decay rates beyond standard exponential or polynomial decay, demonstrating well-posedness under non-standard conditions, and providing complete classifications of solution behavior across different energy regimes. The book serves as an advanced reference for researchers in applied mathematics and mathematical physics, offering new analytical frameworks for systems with memory effects, variable exponents, singular coefficients, and delay mechanisms.