Nonlinear stochastic wave equations in 1D with fractional Laplacian, power-law nonlinearity and additive Q-regular noise

Nonlinear stochastic wave equations in 1D with fractional Laplacian, power-law nonlinearity and additive Q-regular noise

A qualitative study of nonlinear, 1D stochastic fractional wave equations with dissipative nonlinearities of power-law form is conducted on (t,x)∈[0,+∞)×D utt+σ2(−uxx)α−a1u+a2‖u‖L2(D)ρu−κut=b0∂W0∂t on (t,x)∈[0,+∞)×D with D=[0,L], where positive fractional α-powers of Laplace operator are allowed, pe...

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Bibliographic Details
Main Author: Henri Schurz
Format: Article
Language:English
Published: Elsevier 2023-11-01
Series:Results in Applied Mathematics
Subjects:
Nonlinear stochastic fractional wave equations
Power-law nonlinearity
Approximate Fourier series solutions
Q-regular additive space–time noise
Energy functional
Partial-implicit midpoint method
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037423000572

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http://www.sciencedirect.com/science/article/pii/S2590037423000572

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