Results 41 to 50 of about 3,753 (167)

Nonlinear parabolic equations with nonlinear functionals

Journal of Mathematical Analysis and Applications, 1992
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Lin, Yanping, Yin, Hong-Ming
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Explicit solutions for critical and normal depths in trapezoidal and parabolic open channels

Ain Shams Engineering Journal, 2013
Normal and critical depths are important parameters in the design of open channels and analysis of gradually varied flow. In trapezoidal and parabolic channels, the governing equations are highly nonlinear in the normal and critical flow depths and thus ...
Ali R. Vatankhah
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation

Abstract and Applied Analysis, 2015
The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
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The Maximal Regularity of Nonlocal Parabolic Monge–Ampère Equations and Its Monotonicity in the Whole Space

Axioms
The Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
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Optimal control problem for systems governed by nonlinear parabolic equations without initial conditions

Karpatsʹkì Matematičnì Publìkacìï, 2016
An optimal control problem for systems described by Fourier problem for nonlinear parabolic equations is studied. Control functions occur in the coefficients of the state equations. The existence of the optimal control in the case of final observation is
M.M. Bokalo, A.M. Tsebenko
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Parabolic Itô equations with monotone nonlinearities

Journal of Functional Analysis, 1978
AbstractIn this paper the equation ut = Lu − F(u) + α(t, ω) is studied, where u(t) ϵ B0 a Banach space. L is an unbounded self-adjoint negative definite operator. F is a monotone nonlinear potential operator. α(t, ω) is a white noise process on B0. With suitable further restrictions on L and F it is proved that the equation has a unique solution. As t →
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Doubly Nonlinear Parabolic Equation with Nonlinear Boundary Conditions

Journal of Mathematical Analysis and Applications, 2001
A necessary and sufficient condition for global existence of all positive classical solutions is given. The proof relies on the construction of suitable upper and lower solutions.
Wang, Shu, Deng, Jucheng, Shi, Jine
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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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Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems

Современная математика: Фундаментальные направления, 2023
We consider nondiagonal elliptic and parabolic systems of equations with strongly nonlinear terms in the gradient. We review and comment known solvability and regularity results and describe the last author’s results in this field.
A. A. Arkhipova
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

International Journal of Mathematics and Mathematical Sciences, 1989
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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