Results 11 to 20 of about 634,419 (341)
Existence of weak solutions in elasticity [PDF]
Mathematics and Mechanics of Solids, 2012 Solvability and uniqueness of solutions to the problems of equilibrium, vibration and dynamics in a weak setup for classical and nonclassical models of linear elasticity are established in a unified framework sufficiently flexible to accommodate new elastic models.
Eremeyev V. A., Lebedev L. P.
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Local boundedness of weak solutions to elliptic equations with p,q−growth
Mathematics in Engineering, 2023 This article is dedicated to Giuseppe Mingione for his $ 50^{th} $ birthday, a leading expert in the regularity theory and in particular in the subject of this manuscript.
Giovanni Cupini +2 more
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Relaxation and weak solutions of nonlocal semilinear evolution systems
Advances in Difference Equations, 2019 We give a relatively short proof of the fact that the solution set of a nonlocal semilinear differential inclusion is dense in the weak solution set of the corresponding convexified system.
N. Javaid +3 more
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The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems
Advanced Nonlinear Studies, 2022 This paper is concerned with the n-dimensional strongly coupled parabolic systems with triangular form in the cylinder Ω×(0,T]\Omega \times (0,T]. We investigate L2{L}^{2} and Hölder regularity of the derivatives of weak solutions (u1,u2)\left({u}_{1},{u}
Tan Qi-Jian
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SYMMETRY GROUP ANALYSIS OF WEAK SOLUTIONS [PDF]
Proceedings of the London Mathematical Society, 2002 Methods of Lie group analysis of differential equations are extended to weak solutions of (linear and non-linear) partial differential equations, where the term `weak solution' comprises the following settings: distributional solutions; solutions in generalized function algebras; solutions in the sense of association (corresponding to a number of weak ...
Đapić, Nenad +2 more
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Local boundedness for p-Laplacian with degenerate coefficients
Mathematics in Engineering, 2023 We study local boundedness for subsolutions of nonlinear nonuniformly elliptic equations whose prototype is given by $ \nabla \cdot (\lambda |\nabla u|^{p-2}\nabla u) = 0 $, where the variable coefficient $ 0\leq\lambda $ and its inverse $ \lambda^{-1} $
Peter Bella , Mathias Schäffner
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An explicit solution to the weak Schottky problem
Algebraic Geometry, 2021 Algebraic Geometry, to ...
Farkas, H. M. +2 more
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Uniqueness of Weak Solutions to an Electrohydrodynamics Model [PDF]
Abstract and Applied Analysis, 2012 This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d = 2, 3). When d = 2, we prove a uniqueness without any condition on the velocity. For d = 3, we prove a weak‐strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.
Zhou, Yong, Fan, Jishan
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Weak solutions for p-Laplacian equation
Advances in Nonlinear Analysis, 2012 In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.
Bhuvaneswari Venkatasubramaniam +2 more
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Nonuniqueness of Weak Solutions to the SQG Equation [PDF]
Communications on Pure and Applied Mathematics, 2019 We prove that weak solutions of the inviscid SQG equations are not unique, thereby answering Open Problem 11 of De Lellis and Székelyhidi in 2012. Moreover, we also show that weak solutions of the dissipative SQG equation are not unique, even if the fractional dissipation is stronger than the square root of the Laplacian.
Tristan Buckmaster +2 more
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