Results 11 to 20 of about 746 (89)
Advances in Nonlinear Analysis, 2020 In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
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On type I blow up formation for the critical NLW [PDF]
, 2013 We introduce a suitable concept of weak evolution in the context of the radial quintic focussing semilinear wave equation on $\mathbb{R}^{3+1}$, that is adapted to continuation past type II singularities.
Krieger, Joachim, Wong, Willie
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Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping [PDF]
, 2019 In this paper we study blow-up and lifespan estimate for solutions to the Cauchy problem with small data for semilinear wave equations with scattering damping and negative mass term.
Lai, Ning-An +2 more
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Semilinear wave equation on compact Lie groups
, 2020 In this note, we study the semilinear wave equation with power nonlinearity $|u|^p$ on compact Lie groups. First, we prove a local in time existence result in the energy space via Fourier analysis on compact Lie groups.
Palmieri, Alessandro
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Advances in Nonlinear Analysis, 2023 We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent.
Deng Yanhua, Tan Zhong, Xie Minghong
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Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential
Advances in Nonlinear Analysis, 2021 This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
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Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption [PDF]
, 2014 We obtain sufficient conditions expressed in terms of Wiener type tests involving Hausdorff or Bessel capacities for the existence of large solutions to equations (1) $-\Gd_pu+e^{\lambda u}+\beta=0$ or (2) $-\Gd_pu+\lambda |u|^{q-1}u+\beta=0$ in a ...
Quoc, Hung Nguyen, Veron, Laurent
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Advances in Nonlinear Analysis, 2021 We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
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Self-Similar Blowup Solutions to the 2-Component Degasperis-Procesi Shallow Water System
, 2010 In this article, we study the self-similar solutions of the 2-component Degasperis-Procesi water system:% [c]{c}% \rho_{t}+k_{2}u\rho_{x}+(k_{1}+k_{2})\rho u_{x}=0 u_{t}-u_{xxt}+4uu_{x}-3u_{x}u_{xx}-uu_{xxx}+k_{3}\rho\rho_{x}=0. By the separation method,
Camassa +19 more
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Blowup of Regular Solutions for the Relativistic Euler-Poisson Equations
, 2015 In this paper, we study the blowup phenomena for the regular solutions of the isentropic relativistic Euler-Poisson equations with a vacuum state in spherical symmetry.
Chan, Wai Hong, Wong, Sen, Yuen, Manwai
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