Results 31 to 40 of about 1,167 (73)
Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 173-179, 2003., 2003 The relationship between the local temperature and the local heat flux has been established for the homogeneous hyperbolic heat equation. This relationship has been written in the form of a convolution integral involving the modified Bessel functions.
Vladimir V. Kulish, Vasily B. Novozhilov
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On the existence of maximizers for a family of Restriction Theorems
, 2010 We prove the existence of maximizers for a general family of restrictions operators, up to the end-point.
Fanelli, Luca +2 more
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Method of replacing the variables for generalized symmetry of the D′Alembert equation
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 3, Page 149-155, 2002., 2002 We show that by the generalized understanding of symmetry, the D′Alembert equation for one component field is invariant with respect to arbitrary reversible coordinate transformations.
Gennadii A. Kotel′nikov
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An inverse problem for a nonlinear Schrödinger equation
Abstract and Applied Analysis, Volume 7, Issue 7, Page 385-399, 2002., 2002 We study the dependence on the control q of the interval of definition of the solution u of the Cauchy problem ιu′ + Δ u = −λ|u| 2u − ιqu in ℝ 2 × (0, T), u(x, 0) = ω in ℝ 2, and we prove a version of Fibich′s conjecture. Feedback laws for an inverse problem of the above equation with experimental data, measured on a portion of the boundary of an open,
Bui An Ton
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Global attractors for the one dimensional wave equation with displacement dependent damping
, 2010 We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global ...
Arrietta +10 more
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Study of exponential stability of coupled wave systems via distributed stabilizer
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001 Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
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On closed‐form solutions of some nonlinear partial differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 2, Page 81-88, 2000., 2000 This paper is devoted to closed‐form solutions of the partial differential equation: θxx + θyy + δexp(θ) = 0, which arises in the steady state thermal explosion theory. We find simple exact solutions of the form θ(x, y) = Φ(F(x) + G(y)), and θ(x, y) = Φ(f(x + y) + g(x − y)). Also, we study the corresponding nonlinear wave equation.
S. S. Okoya
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Soliton and periodic wave solutions to the osmosis K(2, 2) equation
, 2009 In this paper, two types of traveling wave solutions to the osmosis K(2, 2) equation are investigated. They are characterized by two parameters.
Fan, Xinghua, Tian, Lixin, Zhou, Jiangbo
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Observability and uniqueness theorem for a coupled hyperbolic system
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 423-432, 2000., 2000 We deal with the inverse inequality for a coupled hyperbolic system with dissipation. The inverse inequality is an indispensable inequality that appears in the Hilbert Uniqueness Method (HUM), to establish equivalence of norms which guarantees uniqueness and boundary exact controllability results.
Boris V. Kapitonov, Joel S. Souza
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Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 171-180, 1998., 1998 Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Martin Schechter
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