Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents by Yating Guo, Guoju Ye

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A New Method to Deal with the Stability of the Weak Solutions for a Nonlinear Parabolic Equation by Huashui Zhan

“…A new method is introduced in the paper; accordingly, the stability of the weak solutions can be proved independent of the boundary value condition.…”
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Global existence of weak solutions to a class of higher-order nonlinear evolution equations by Li-ming Xiao, Cao Luo, Jie Liu

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Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term by Kangqun Zhang

“…We focus on the nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term. …”
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A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales, Alice Rosa da Silva

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Weak Solutions for a Sixth Order Cahn-Hilliard Type Equation with Degenerate Mobility by Aibo Liu, Changchun Liu

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Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale by Wandong Lou

“…We adopt the Leray-Schauder degree theory and critical point theory to consider a second order Dirichlet boundary value problem on time scales and obtain some existence theorems of weak solutions for the previous problem.…”
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Weak Solutions of a Coupled System of Urysohn-Stieltjes Functional (Delayed) Integral Equations by A. M. A. El-Sayed, M. M. A. Al-Fadel

“…We study the existence of weak solutions for the coupled system of functional integral equations of Urysohn-Stieltjes type in the reflexive Banach space E. …”
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A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space by Xunwu Yin

“…This paper is concerned with the regularity of Leray weak solutions to the 3D Navier-Stokes equations in Lorentz space. …”
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On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation by Haibo Yan, Ls Yong, Yu Yang, Yang Wang

“…Assuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂‍L∞([0,∞);H1(R)). …”
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Solvability of an attraction-repulsion chemotaxis Navier-Stokes system with arbitrary porous medium diffusion by Yadhavan Karuppusamy, Shangerganesh Lingeshwaran, Manimaran Jeyaraj

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Nonexistence results of solutions for some fractional $p$-Laplacian equations in $\mathbb{R}^{N}$ by Yuxin Chen, Haidong Liu

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Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations by Junbai Ren

“…This paper is concerned with the large time behavior of the weak solutions for three-dimensional globally modified Navier-Stokes equations. …”
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The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System by Guangming Shao, Biao Liu, Yueying Liu

“…We first establish unique existence criterion of weak solutions in the case that the dimension n=3. Then we prove the sufficient condition of optimal pairs.…”
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A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set by Nguyen Thanh Long, Le Thi Phuong Ngoc

“…The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.…”
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Existence of Weak Solutions for a Sturm–Liouville Type System Using Critical Points Theorems by Saeid Shokooh, Amir Ali Shamlou

“…First, by using a three-critical-point theorem, we check the existence of at least three weak solutions for the problem, and then, by utilizing a local minimum theorem, we present sufficient conditions so that the existence of at least one nontrivial weak solution for the problem is guaranteed. …”
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Weak Solutions and Optimal Control of Hemivariational Evolutionary Navier-Stokes Equations under Rauch Condition by Hicham Mahdioui, Sultana Ben Aadi, Khalid Akhlil

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Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems by Ozgur Yildirim

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Existence of global weak solution to tumor chemotaxis competition systems with loop and signal dependent sensitivity by Shanmugasundaram Gnanasekaran, Nagarajan Nithyadevi

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Brief introduction to distributions and to Hörmander spaces Bp,k by Alejandro Ortiz Fernández

Subjects: “…weak solution…”
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