Results 1 to 10 of about 220,529 (233)
Anisotropic fast diffusion equations
Nonlinear Analysis, 2023 62 pages. Typos corrected, references added, text provided with very detailed proofs.
Feo F., Vázquez J. L., Volzone B.
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Anisotropic tempered diffusion equations [PDF]
Nonlinear Analysis, 2020 We introduce a functional framework which is specially suited to formulate several classes of anisotropic evolution equations of tempered diffusion type. Under an amenable set of hypothesis involving a very natural potential function, these models can be shown to belong to the entropy solution framework devised by 4, 5, therefore ensuring well ...
Calvo, J., Marigonda, A., Orlandi, G.
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Viscoacoustic anisotropic wave equations [PDF]
SEG Technical Program Expanded Abstracts 2019, 2019 The wave equation plays a central role in seismic modeling, processing, imaging and inversion. Incorporating attenuation anisotropy into the acoustic anisotropic wave equations provides a choice for acoustic forward and inverse modeling in attenuating anisotropic media.
Qi Hao, Tariq Alkhalifah
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Anisotropic parabolic equations with variable nonlinearity [PDF]
Publicacions Matemàtiques, 2009 We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak ...
Antontsev, S., Shmarev, S.
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Anisotropic equations in $L^1$
Differential and Integral Equations, 1996 Let \(\mu\) be a bounded Radon measure on \(\Omega\). The authors prove existence of a solution of the anisotropic quasilinear Dirichlet problem \[ - \sum^n_{i= 1} {\partial\over \partial x_i} \Biggl(\Biggl|{\partial u\over \partial x_i}\Biggr|^{p_i- 2} {\partial u\over \partial x_i}\Biggr)= \mu \quad \text{in }\Omega,\quad u= 0\quad \text{on }\partial
L. BOCCARDO +2 more
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Locally Anisotropic Kinetic Processes and Thermodynamics in Curved Spaces [PDF]
, 2000 The kinetic theory is formulated with respect to anholonomic frames of reference on curved spacetimes. By using the concept of nonlinear connection we develop an approach to modelling locally anisotropic kinetic processes and, in corresponding limits ...
Abramowitz +44 more
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Anisotropic Singular Neumann Equations with Unbalanced Growth [PDF]
Potential Analysis, 2021 AbstractWe consider a nonlinear parametric Neumann problem driven by the anisotropic (p, q)-Laplacian and a reaction which exhibits the combined effects of a singular term and of a parametric superlinear perturbation. We are looking for positive solutions.
Nikolaos S. Papageorgiou +2 more
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Anholonomic Soliton-Dilaton and Black Hole Solutions in General Relativity [PDF]
, 2000 A new method of construction of integral varieties of Einstein equations in three dimensional (3D) and 4D gravity is presented whereby, under corresponding redefinition of physical values with respect to anholonomic frames of reference with associated ...
Vacaru, Sergiu I.
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Semilinear anisotropic evolution partial differential equations
Journal of Mathematical Analysis and Applications, 2003 Consider the anisotropic Cauchy problem \(\partial_t u+P(D)u-G(\partial^\alpha u)=0\) for \(t>0\), \(u(x,0)=u_0(x)\), where \(P(D)=\sum_{| \alpha:\rho| \leq m} c_\alpha D_x^\alpha\) is a quasi-elliptic operator of (anisotropic) order \(m\) and \(G\) is a homogeneous polynomial with constant coefficients.
P. Marcolongo, OLIARO, Alessandro
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Large-scale cosmological perturbations on the brane [PDF]
, 2000 In brane-world cosmologies of Randall-Sundrum type, we show that evolution of large-scale curvature perturbations may be determined on the brane, without solving the bulk perturbation equations.
A. Lukas +38 more
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