Lifespan of solutions for a class of pseudo-parabolic equation with weak-memory
Khaled Zennir, Tosiya Miyasita
Abstract
The most important feature in this article is the existence of the weak-viscoelastic terms which can’t pull out the whole system. It is concerned mainly with the global in time non-existence for a large class of pseudo-parabolic equation with weak-viscoelasticity under suitable conditions on the variable exponents with negative initial energy. We will see that the influence of a memory term is unable to guarantee the stability of the problem under conditions (1.4) and (1.6).
Topics & Concepts
ViscoelasticityClass (philosophy)MathematicsStability (learning theory)Term (time)Variable (mathematics)Feature (linguistics)Mathematical analysisEnergy (signal processing)Pure mathematicsPhysicsComputer scienceThermodynamicsStatisticsArtificial intelligenceQuantum mechanicsMachine learningLinguisticsPhilosophyStability and Controllability of Differential EquationsNonlinear Partial Differential EquationsAdvanced Mathematical Physics Problems