Results 1 to 10 of about 341,593 (214)
Time averaging for random nonlinear abstract parabolic equations
Abstract and Applied Analysis, 2000 On the basis of G-convergence we prove an averaging result for nonlinear abstract parabolic equations, the operator coefficient of which is a stationary stochastic process.
T. Pankova, A. Pankov, G. Bruno
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Critical and super-critical abstract parabolic equations
Discrete & Continuous Dynamical Systems - B, 2020 Our purpose is to formulate an abstract result, motivated by the recent paper [ 8 ], allowing to treat the solutions of critical and super-critical equations as limits of solutions to their regularizations.
Tomasz Dłotko +2 more
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Regularity Analysis for an Abstract System of Coupled Hyperbolic and Parabolic Equations [PDF]
, 2014 In this paper, we provide a complete regularity analysis for an abstract system of coupled hyperbolic and parabolic equations in a complex Hilbert space.
Jianghao Hao, Zhuangyi Liu, J. Yong
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Stability of Stochastic Partial Differential Equations
Axioms, 2023 In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
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Liouville Theorems for Fractional Parabolic Equations [PDF]
Advanced Nonlinear Studies, 2021 In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles for
Wenxiong Chen, Leyun Wu
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Regularity results for a class of widely degenerate parabolic equations [PDF]
Advances in Calculus of Variations, 2022 Motivated by applications to gas filtration problems, we study the regularity of weak solutions to the strongly degenerate parabolic PDE u t - div ( ( | D u | - ν ) + p - 1 D u | D u | ) = f in Ω T = Ω × ( 0 , T ) , u_{t}-\operatorname{div}\
Pasquale Ambrosio +1 more
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On the regularity theory for mixed local and nonlocal quasilinear parabolic equations [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 . We consider mixed local and nonlocal quasilinear parabolic equations of p-Laplace type and discuss several regularity properties of weak solutions for such equations.
P. Garain, J. Kinnunen
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MHD Equations in a Bounded Domain
Annales Mathematicae Silesianae, 2021 We consider the MHD system in a bounded domain Ω ⊂ ℝN, N = 2; 3, with Dirichlet boundary conditions. Using Dan Henry’s semigroup approach and Giga–Miyakawa estimates we construct global in time, unique solutions to fractional approximations of the MHD ...
Kania Maria B.
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An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions [PDF]
Journal of Inverse and Ill-Posed Problems, 2021 We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions.
E. Hassi, Salah-Eddine Chorfi, L. Maniar
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Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold [PDF]
Journal of Mathematical Analysis and Applications, 2021 In this work we study the existence and the asymptotic behaviour of the asymptotically almost periodic mild solutions of the vectorial parabolic equations on the real hyperbolic manifold $\mathbb{H}^d(\mathbb{R})$ ($d \geqslant 2$).
P. T. Xuan, N. Van, Bui Quoc
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