Global Existence and Decay Estimates of Energy of Solutions for a New Class of p -Laplacian Heat Equations with Logarithmic Nonlinearity
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Salah Mahmoud Boulaaras | Abdelbaki Choucha | Mohamed Abdalla | Abderrahmane Zara | Bahri-Belkacem Cheri | A. Choucha | S. Boulaaras | M. Abdalla | Abderrahmane Zara | Bahri-Belkacem Cheri
[1] P. Górka,et al. Logarithmic Klein-Gordon Equation , 2009 .
[2] The equation of the $ p$-adic open string for the scalar tachyon field , 2005, math-ph/0507018.
[3] Xiaosen Han,et al. GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS , 2013 .
[4] The finite element approximation of evolutionary Hamilton–Jacobi–Bellman equations with nonlinear source terms , 2013 .
[5] I. Bialynicki-Birula,et al. Nonlinear Wave Mechanics , 1976 .
[6] Wenxiu Ma,et al. A New $$(3+1)$$-dimensional Hirota Bilinear Equation: Its Bäcklund Transformation and Rational-type Solutions , 2020, Regular and Chaotic Dynamics.
[7] D. Sattinger,et al. Saddle points and instability of nonlinear hyperbolic equations , 1975 .
[8] S. Boulaaras,et al. Qualitative analysis of solutions for the p‐Laplacian hyperbolic equation with logarithmic nonlinearity , 2020, Mathematical Methods in the Applied Sciences.
[9] Junhao Wen,et al. Fundus Image Classification Using VGG-19 Architecture with PCA and SVD , 2018, Symmetry.
[10] J. Dolbeault,et al. Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian , 2002 .
[11] Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity , 2018 .
[12] C. Goodrich,et al. Hölder continuity of weak solutions of p-Laplacian PDEs with VMO coefficients , 2019, Nonlinear Analysis.
[13] Hong-Ming Yin,et al. Semilinear parabolic equations with prescribed energy , 1995 .
[14] S. Boulaaras,et al. Further results of existence of positive solutions of elliptic Kirchhoff equation with general nonlinearity of source terms , 2020, Mathematical Methods in the Applied Sciences.
[15] Salah Boulaaras,et al. Polynomial Decay Rate for Kirchhoff Type in Viscoelasticity with Logarithmic Nonlinearity and Not Necessarily Decreasing Kernel , 2019, Symmetry.
[16] Le Xuan Truong,et al. Global solution and blow-up for a class of pseudo p-Laplacian evolution equations with logarithmic nonlinearity , 2017, Comput. Math. Appl..
[17] Sining Zheng,et al. Blow-up versus extinction in a nonlocal p-Laplace equation with Neumann boundary conditions ☆ , 2014 .
[18] A. Haraux,et al. Équations d'évolution avec non linéarité logarithmique , 1980 .
[19] Shuying Tian,et al. Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity , 2015 .
[20] S. Boulaaras. SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD , 2021 .
[21] X. Xue,et al. Uniform decay rate estimates for a class of quasi-linear hyperbolic equations with non-linear damping and source terms , 2013 .
[22] S. Boulaaras,et al. Blow up of solutions for a nonlinear viscoelastic system with general source term , 2020, Quaestiones Mathematicae. Journal of the South African Mathematical Society.
[23] A. Razani,et al. A Sequence of Radially Symmetric Weak Solutions for Some Nonlocal Elliptic Problem in $${\mathbb {R}}^N$$ , 2020 .
[24] C. O. Alves,et al. Existence of solution for a class of heat equation involving the p(x) Laplacian with triple regime , 2020, Zeitschrift für angewandte Mathematik und Physik.
[25] Norisuke Ioku. The Cauchy problem for heat equations with exponential nonlinearity , 2011 .
[26] H. M. Baskonus,et al. Dark optical solitons to the Biswas–Arshed equation with high order dispersions and absence of the self-phase modulation , 2020 .
[27] Salah Boulaaras,et al. L∞-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem , 2011, Appl. Math. Comput..
[28] M. Gurtin,et al. On a theory of heat conduction involving two temperatures , 1968 .
[29] O. A. Ladyzhenskai︠a︡,et al. Linear and Quasi-linear Equations of Parabolic Type , 1995 .
[30] Qingying Hu,et al. Asymptotic Behavior for a Class of Logarithmic Wave Equations with Linear Damping , 2017, Applied Mathematics & Optimization.
[31] On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms , 2015 .
[32] M Segev,et al. Incoherent white light solitons in logarithmically saturable noninstantaneous nonlinear media. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[33] S. Boulaaras,et al. A New Result for a Blow-up of Solutions to a Logarithmic Flexible Structure with Second Sound , 2021, Advances in Mathematical Physics.
[34] Gongwei Liu,et al. Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity , 2015 .