Results 31 to 40 of about 217,202 (282)
On the q-Laplace Transform and Related Special Functions
Axioms, 2016 Motivated by statistical mechanics contexts, we study the properties of the q-Laplace transform, which is an extension of the well-known Laplace transform. In many circumstances, the kernel function to evaluate certain integral forms has been studied. In
Shanoja R. Naik, Hans J. Haubold
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Advances in Mathematical Physics, 2020 In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations.
Lufeng Yang
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If $B$ and $f(B)$ are Brownian motions, then $f$ is affine [PDF]
, 2015 It is shown that if the processes $B$ and $f(B)$ are both Brownian motions (without a random time change) then $f$ must be an affine function. As a by-product of the proof, it is shown that the only functions which are solutions to both the Laplace ...
Tehranchi, Michael R.
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Journal of Mathematics, 2022 The Quasi-Reversibility Regularization Method (Q-RRM) provides stable approximate solution of the Cauchy problem of the Helmholtz equation in the Hilbert space by providing either additional information in the Laplace-type operator in the Helmholtz ...
Benedict Barnes +3 more
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Transmutation Operator Method for Solving Heat Conduction Problem [PDF]
EPJ Web of Conferences, 2021 The transmutation operator method is extended to the case of functions of two variables. The transmutation operator flattens the function, i.e. the transmutation operator replaces a function with discontinuous partial derivatives on the coordinate axes ...
Yaremko Oleg, Yaremko Natalia
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A stochastic log-Laplace equation [PDF]
, 2003 We study a nonlinear stochastic partial differential equation whose solution is the conditional log-Laplace functional of a superprocess in a random environment. We establish its existence and uniqueness by smoothing out the nonlinear term and making use
Xiong, Jie
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Tutte's invariant approach for Brownian motion reflected in the quadrant [PDF]
, 2016 We consider a Brownian motion with drift in the quarter plane with orthogonal reflection on the axes. The Laplace transform of its stationary distribution satisfies a functional equation, which is reminiscent from equations arising in the enumeration of (
Franceschi, Sandro, Raschel, Kilian
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Transparent boundary conditions based on the Pole Condition for time-dependent, two-dimensional problems [PDF]
, 2012 The pole condition approach for deriving transparent boundary conditions is extended to the time-dependent, two-dimensional case. Non-physical modes of the solution are identified by the position of poles of the solution's spatial Laplace transform in ...
Alpert +27 more
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Validity and regularization of classical half-space equations
, 2016 Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the correct boundary layer behaviour as long believed. In this paper we develop a
Li, Qin, Lu, Jianfeng, Sun, Weiran
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Probe method and a Carleman function
, 2020 A Carleman function is a special fundamental solution with a large parameter for the Laplace operator and gives a formula to calculate the value of the solution of the Cauchy problem in a domain for the Laplace equation.
Aizenberg L +27 more
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