Results 271 to 280 of about 146,108 (290)

Preservation of support and positivity for solutions of degenerate evolution equations

Nonlinearity, 2010
We prove that sufficiently smooth solutions of equations of a certain class have two interesting properties. These evolution equations are in a sense degenerate, in that every term on the right-hand side of the evolution equation has either the unknown or its first spatial derivative as a factor. We first find a conserved quantity for the equation: the
David M Ambrose, J Douglas Wright
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Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations

Journal of Mathematical Sciences, 2018
Summary: We obtain conditions for the existence and uniqueness of a strong solution to the initial value problem for a degenerate evolution equation that is not solvable with respect to the fractional order derivative. The obtained results are used to study the initial-boundary value problem governing the fractional model of a viscoelastic Kelvin-Voigt
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Linear evolution equations and a mixed problem for singular or degenerate wave equations

Communications in Partial Differential Equations, 1987
On considere un nouveau type d'equation d'evolution lineaire abstraite dans un espace de Banach.
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Degenerate evolution equations and regularity of their associated semigroups

1996
The authors study the abstract Cauchy problem associated to the operator \(Au=\nabla(\alpha\nabla u)\) with Wentzell boundary conditions in an open bounded set \(\Omega\subset\mathbb{R}^n\) with smooth boundary. The function \(\alpha\) is continuous, \(\alpha>0\) in \(\Omega\) and \(\alpha|_{\partial\Omega}=0\).
BARBU V, FAVINI A, ROMANELLI, Silvia
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Existence of solutions to a doubly degenerate fourth-order partial differential equation with a degenerate diffusion

Journal of Mathematical Analysis and Applications, 2023
Ying Wang
exaly  

On strong solutions for a class of semilinear fractional degenerate evolution equations with lower fractional derivatives

Mathematical Methods in the Applied Sciences, 2021
Marina V Plekhanova, Guzel D Baybulatova
exaly  

Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation

Kinetic and Related Models, 2022
Kevin Zumbrun
exaly  

Degenerate lump chain solutions and rouge wave solutions of the (4 + 1)-dimensional nonlinear evolution equation

Nonlinear Dynamics, 2023
Hong-Cai, Aiping Deng
exaly  

A class of inverse problems for fractional order degenerate evolution equations

Journal of Inverse and Ill-Posed Problems, 2021
Vladimir Fedorov
exaly  

The degenerate breather solutions for the Boussinesq equation

Applied Mathematics Letters, 2022
Wan-yi Sun
exaly