Results 41 to 50 of about 2,910,066 (190)
Behavior of positive radial solutions of a quasilinear equation with a weighted Laplacian
Electronic Journal of Differential Equations, 2001 We obtain a classification result for positive radially symmetric solutions of the semilinear equation $$ -mathop{m div}(ilde a(|x|)abla u)=ilde b(|x|)|u|^{delta-1}u, $$ on a punctured ball.
Marta Garcia-Huidobro
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Green functions of the damped wave equation and applications [PDF]
, 2019 This work presents some results on the Green Functions of the Damped Wave Equation. We exhibit its fundamental solution and we study it. This fundamental solution allows us to obtain the solution of the initial value problem when the initial conditions ...
Nualart Batalla, Marc
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On fundamental matrix solutions [PDF]
Proceedings of the American Mathematical Society, 1954 (1) l[y] -y'A(x)y = 0, s[y] My(a) + Ny(b) = 0, can be represented in terms of the Green's matrix of the system, or in terms of a special generalized Green's matrix in case the system (1) is compatible. For the system (1), A (x) is an n Xn matrix of complex-valued continuous functions of the real variable x on the finite interval a
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Space-time fractional diffusions in Gaussian noisy environment
, 2016 This paper studies the linear stochastic partial differential equation of fractional orders both in time and space variables $\left(\partial^\beta + \frac{\nu}{2} (-\Delta)^{\alpha/2} \right) u(t,x)= \lambda u(t,x) \dot{W}(t,x)$, where $\dot W$ is a ...
Chen, Le +3 more
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On the 3D steady flow of a second grade fluid past an obstacle
, 2010 We study steady flow of a second grade fluid past an obstacle in three space dimensions. We prove existence of solution in weighted Lebesgue spaces with anisotropic weights and thus existence of the wake region behind the obstacle.
A. Novotný +11 more
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Semiclassical fundamental solutions [PDF]
Abstract and Applied Analysis, 2005 It is the aim of this paper to show how the classical theory, based on fundamental solutions and explicit representations, via special functions can be combined with the functional analytical approach to partial differential equations, to produce semiclassical representation formulae for the solution of equations in cylinder‐like domains.
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Potential method in the theory of Moore-Gibson-Thompson thermoporoelasticity
Archives of MechanicsIn the present paper the linear theory of Moore–Gibson–Thompson thermoporoelasticity is considered and the basic boundary value problems (BVPs) of steady vibrations are investigated.
M. Svanadze
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A quasi-RBF technique for numerical discretization of PDE's [PDF]
, 2002 Atkinson developed a strategy which splits solution of a PDE system into homogeneous and particular solutions, where the former have to satisfy the boundary and governing equation, while the latter only need to satisfy the governing equation without ...
Chen, W.
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International Journal of Applied Mechanics and EngineeringIn this article, we study case of steady oscillations to solve the system of differential equations by using elementary functions in the theory of microploar couple stress viscoelastic solid .
Ravinder Kumar Sahrawat, Sonam Rani
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An Exchange Rate Target Zone Model with a Terminal Condition and Mean-Reverting Fundamentals [PDF]
, 2015 This paper proposes a target zones exchange rate model with a terminal condition of entering a currency zone. It is assumed that the exchange rate is a function of the fundamental and time.
Ajevskis, Viktors
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