Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Studies in Nonlinear Evolution Equations: Stability and Blow-Up

Studies in Nonlinear Evolution Equations: Stability and Blow-Up

Abidi, Khedidja

Paperback

General Mathematics

ISBN10: 620967772X
ISBN13: 9786209677724
Publisher: LAP Lambert Academic Publishing
Published: Mar 4 2026
Pages: 92
Weight: 0.30
Height: 0.22 Width: 6.00 Depth: 9.00
Language: English
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.

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