On the weak solutions of the forward problem in EEG by M. I. Troparevsky, D. Rubio

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An Lp-Estimate for Weak Solutions of Elliptic Equations by Sara Monsurrò, Maria Transirico

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Existence of weak solutions for abstract hyperbolic-parabolic equations by Marcondes Rodrigues Clark

Subjects: “…existence of weak solutions…”
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On the Weak Solution to a Fractional Nonlinear Schrödinger Equation by Zujin Zhang, Xiaofeng Wang, Zheng-an Yao

“…We obtain the existence of a global weak solution to a fractional nonlinear Schrödinger equation by the Galerkin method. …”
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Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems by Na Wei, Xiangyu Ge, Yonghong Wu, Leina Zhao

“…This paper is devoted to the Lp estimates for weak solutions to nonlinear degenerate parabolic systems related to Hörmander’s vector fields. …”
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The Global Weak Solution for a Generalized Camassa-Holm Equation by Shaoyong Lai

“…Provided that initial value and satisfies an associated sign condition, it is shown that there exists a unique global weak solution to the equation in space in the sense of distribution, and .…”
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Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems by Zhenhua Hu, Shuqing Zhou

“…We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then investigate the local and global higher integrability of weak solutions to the double obstacle systems, and finally generalize the results of the double obstacle problems to the double obstacle systems.…”
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Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions by Haide Gou, Baolin Li

“…By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.…”
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Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity by Antonio Olivas Martinez, Georgy A. Omel'yanov

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The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation by Meng Wu

“…Meanwhile, we prove the existence of global weak solutions in L∞([0,∞);L2(R)) for the equation.…”
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Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions by Idriss Ellahiani, EL-Hassan Essoufi, Mouhcine Tilioua

“…The paper deals with global existence of weak solutions to a one-dimensional mathematical model describing magnetoelastic interactions. …”
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On weak solution of a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term by Guo Xingming

“…In this paper, a hyperbolic differential inclusion with nonmonotone discontinuous and nonlinear term, which the generalized velocity acts as its variable, is studied and the existence and decay of its weak solution are obtained.…”
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On weak solutions of Stratonovich integral equation driven by a continuous p-semimartingales by Kęstutis Kubilius

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Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations by Irina Meghea

“…This paper is aimed at providing three versions to solve and characterize weak solutions for Dirichlet problems involving the p-Laplacian and the p-pseudo-Laplacian. …”
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Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil by Côme Goudjo, Babacar Lèye, Mamadou Sy

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Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface by P. Amster, M. Cassinelli, M. C. Mariani, D. F. Rial

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Weak Solutions for a p-Laplacian Antiperiodic Boundary Value Problem with Impulsive Effects by Keyu Zhang, Jiafa Xu, Wei Dong

“…By virtue of variational method and critical point theory, we will investigate the existence of weak solutions for a p-Laplacian impulsive differential equation with antiperiodic boundary conditions.…”
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On the Weak Solution of a Semilinear Boundary Value Problem without the Landesman-Lazer Condition by Sikiru Adigun Sanni

“…We prove the existence of weak solution to a semilinear boundary value problem without the Landesman-Lazer condition.…”
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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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