The Dirac Equation with an Anomalous Magnetic Moment.
Horst Behncke (1980)
Mathematische Zeitschrift
Isaac Harris (2022)
Applications of Mathematics
In this paper, we consider the direct and inverse problem for time-fractional diffusion in a domain with an impenetrable subregion. Here we assume that on the boundary of the subregion the solution satisfies a generalized impedance boundary condition. This boundary condition is given by a second order spatial differential operator imposed on the boundary. A generalized impedance boundary condition can be used to model corrosion and delimitation. The well-posedness for the direct problem is established...
Ali I. Abdul-Latif (1978)
Collectanea Mathematica
Paola Cavaliere, Maria Transirico (2005)
Commentationes Mathematicae Universitatis Carolinae
In this paper an existence and uniqueness theorem for the Dirichlet problem in for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class VMO.
Hartenstine, David (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
J. H. Chabrowski (1987)
Rendiconti del Seminario Matematico della Università di Padova
Rasheed, Al-Momani Raid, Ahmad, Jafar Husni (1998)
Revista Colombiana de Matemáticas
Hugo Aimar, Ivana Gómez, Federico Morana (2019)
Czechoslovak Mathematical Journal
We obtain the fundamental solution kernel of dyadic diffusions in as a central limit of dyadic mollification of iterations of stable Markov kernels. The main tool is provided by the substitution of classical Fourier analysis by Haar wavelet analysis.
Lyaghfouri, A. (1999)
Portugaliae Mathematica
Ryuichi Ishimura, Yasunori Okada (1994)
Bulletin de la Société Mathématique de France
Adrian Karpowicz (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
We consider the following Darboux problem for the functional differential equation a.e. in [0,a]×[0,b], u(x,y) = ψ(x,y) on [-a₀,a]×[-b₀,b]where the function is defined by for (s,t) ∈ [-a₀,0]×[-b₀,0]. We prove a theorem on existence of the Carathéodory solutions of the above problem.
Kulaev, R.Ch. (2009)
Sibirskij Matematicheskij Zhurnal
A. Lyashenko (1992)
Banach Center Publications
Ly, Idrissa (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Brandt, Achi (1997)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Smaoui, Nejib, Mekkaoui, Mona (2004)
Journal of Applied Mathematics and Stochastic Analysis
Lia Bronsard, Barbara Stoth (1998)
Annales de l'I.H.P. Analyse non linéaire
Kindermann, Stefan, Janicki, Marcin (2009)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Hana Petzeltová (1991)
Mathematica Bohemica
The existence of the Hopf bifurcation for parabolic functional equations with delay of maximum order in spatial derivatives is proved. An application to an integrodifferential equation with a singular kernel is given.
Jürgen Voigt (1981)
Journal für die reine und angewandte Mathematik