[PDF] Top 20 Global existence and blow up of solutions for a nonlinear wave equation with memory
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Global existence and blow up of solutions for a nonlinear wave equation with memory
... is global with energy which decays exponentially under the potential ...time blow up for solutions starting in the unstable set is proved, but also under some appropriate assumptions on g and ... See full document
27
Global existence and blow-up of solutions for p-Laplacian evolution equation with nonlinear memory term and nonlocal boundary condition
... parabolic equation with time-integral term does not seem to be so much investigated as nonlocal equations with space-integral ...a memory term has some difficulties in proving the existence of ... See full document
17
On Local Existence and Blow Up of Solutions for Nonlinear Wave Equations of Higher Order Kirchhoff Type with Strong Dissipation
... On Global Existence, Asymptotic Stability and Blowing up of Solutions for Some Degenerate Non-Linear Wave Equations of Kirchhoff Type with a Strong ... See full document
15
Global Existence, Asymptotic Behavior and Blow-up of Solutions for a Suspension Bridge Equation with Nonlinear Damping and Source Terms
... for blow-up ...for blow-up time of a system of ...for blow-up time of the solutions to two nonlinear wave ... See full document
25
Blow-up and global existence for solution of quasilinear viscoelastic wave equation with strong damping and source term
... that solutions with negative initial energy blow up in finite time if p > m, and continue to exist if p ≤ ...certain solutions with initial positive ... See full document
12
General decay for a wave equation of Kirchhoff type with a boundary control of memory type
... viscoelastic wave equations with memory term act- ing in the boundary or in the domain, there are numerous results related to asymptotic behavior of ...the existence and uniform decay of strong ... See full document
15
General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
... and blow-up properties of a nonlinear viscoelastic wave equation with strong ...local existence theorem. Then, we prove the global existence of solutions and ... See full document
22
Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
... of solutions for the problem (1.1)-(1.2). Among the global existence and blow-up results we also prove existence of a compact functional invariant ...that up to our ... See full document
11
Energy decay and blow-up of solution for a Kirchhoff equation with dynamic boundary condition
... the existence of the solution of the Kirchhoff equation with dy- namic boundary conditions and boundary differential ...the wave equation with dynamic boundary ...the global nonexistence ... See full document
12
Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms
... semilinear wave equations with nonlinear interior and boundary sources and subject to a nonlinear dynamical boundary ...establish global existence of ...time blow-up ... See full document
10
Global solutions to a class of nonlinear damped wave operator equations
... proved global existence of solutions for semilinear damped wave equations in R N with noncompactly supported initial data or in the energy space, in where the nonlinear term f(u) = |u| ... See full document
9
Global weak solutions for a generalized Dullin-Gottwald-Holm equation in the space H1(R)
... two wave solutions for () by using bifurcation phase portraits of the traveling wave ...local existence and uniqueness of solu- tions for the DGH equation with continuously ... See full document
19
A blow up result for viscoelastic equations with arbitrary positive initial energy
... the wave equation subject to nonlinear boundary damp- ing has been investigated by the authors Cavalcanti et ...to blow up of the solutions of equations with nonlinear ... See full document
10
Existence and Asymptotic Behavior of Global Solutions for a Class of Nonlinear Higher Order Wave Equation
... The existence of global solutions for this problem is proved by constructing the stable sets and shows the asymptotic stability of the global solutions as time goes to infinity by ... See full document
14
Evolutionary p-Laplacian with convection and reaction under dynamic boundary condition
... the existence of a global attractor results were ...the nonlinear convection problem (.)-(.) with p = and proved the global existence and blow-up phenomena of local ... See full document
15
Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition
... This paper is organized as follows. In Section 2, we establish the conditions on the functions f and g, which guarantee that u(x, t) exists globally, and prove Theorem 1.1. In Section 3, we obtain the ... See full document
7
Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
... in a bounded domain Ω ⊂ R N and showed that the energy of solution decay expo- nentially provided the kernel function also decay exponentially. For more related results about the existence, finite time ... See full document
15
Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
... Local in time existence of positive classical solutions of (1.1) can be obtained by using fixed point theorem [21], the representation formula and the contraction map- ping principle as in [13]. By the ... See full document
14
Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
... Ikehata, On global solutions and energy decay for the wave equations of the Kirchhoff type with nonlinear damping terms, J.. Messaoudi, Blow up in a nonlinearly damped wave equation, Mat[r] ... See full document
9
Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms
... assures global existence for arbitrary initial data (see ...and nonlinear source has been first considered by Levine [7] ...that solutions with negative initial energy blew up in fi- ... See full document
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