Results 11 to 20 of about 2,128,627 (261)
Optimal Control Problems of a Class of Nonlinear Degenerate Parabolic Equations
MathematicsThe optimal control problems of degenerate parabolic equations have many applications in economics, physics, climatology, and so on. Motivated by the applications, we consider the optimal control problems of a class of nonlinear degenerate parabolic ...
Yang Na +3 more
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Nonlinear anisotropic parabolic equations in Lm
Arab Journal of Mathematical Sciences, 2014 In this paper, we give a result of regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with lower-order term when the right-hand side is an Lm function, with m being ”small”.
Fares Mokhtari
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Cauchy problem for some fractional nonlinear ultra-parabolic equations
Electronic Journal of Differential Equations, 2016 Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra ...
Fatma Al-Musalhi, Sebti Kerbal
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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Remarks on a Nonlinear Parabolic Equation [PDF]
Transactions of the American Mathematical Society, 1999 The equation u t = Δ u + μ | ∇ u | u_{t} =\Delta u +\mu |\nabla u | , μ ∈ R \mu \in \mathbb {R} , is studied in R
Ben-Artzi, Matania +2 more
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Doubly nonlinear parabolic equations with Robin boundary conditions [PDF]
, 2022 doubly nonlinear parabolic equations, positive solutions, Robin boundary ...
Balekoğlu, Reyhan Tellioğlu +3 more
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Riesz Potentials and Nonlinear Parabolic Equations [PDF]
Archive for Rational Mechanics and Analysis, 2013 The spatial gradient of solutions to nonlinear degenerate parabolic equations can be pointwise estimated by the caloric Riesz potential of the right hand side datum, exactly as in the case of the heat equation.
T. Kuusi, MINGIONE, Giuseppe
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Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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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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A Model of Porous Catalyst Accounting for Incipiently Non-isothermal Effects* [PDF]
, 1999 An approximate model accounting for incipiently non-isothermal effects is derived from a well-known model of porous catalyst for appropriate, realistic limiting values of the parameters.
Vega de Prada, José Manuel +1 more
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