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  • Life-span of Classical Solutions of Nonlinear Hyperbolic Systems

    Dexing Kong
    1996-09-01
    37976 2715 pp. 221-236
  • On the Cauchy Problem for a Class of Semilinear Hyperbolic Equations with Discontinuous Coefficients and Data

    Yongqian Zhang
    1996-09-01
    37580 2842 pp. 209-220
  • Global Stability for the Cauchy Problem of a Class of Reaction-diffusion Systems

    Zhengyi Lu
    2020-05-12
    39550 2888 pp. 323-329
  • The Cauchy Problem of the Porous Medium Equation with Absorption

    Zhao Junning, Liu Huizhao
    1994-07-01
    37833 2890 pp. 231-247
  • On the Cauchy Problem for the Equation of Finite-depth Fluids

    Yulin Zhou, Boling Guo, Shaobin Tan
    1992-05-01
    41068 3520 pp. 1-16
  • The Relation Between the Differentiability of Solution and Lower-order Terms of the Cauchy Problem for a Class of Weakly Hyperbolic Equations with Singular Coefficients

    Jian Suwen
    1991-04-01
    40067 3906 pp. 45-56
  • Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space

    Xiangtuan Xiong, Jinmei Li
    2020-05-12
    DOI:10.4208/jpde.v28.n4.3
    42815 2551 pp. 315-331
  • Cauchy Problem for a Generalized Nonlinear Dispersive Equation

    Guo Boling, Tan Shaobin
    2020-05-12
    39248 3015 pp. 37-50
  • Sharp Conditions on Global Existence and Non-Global Existence of Solutions of Cauchy Problem for 1D Generalized Boussinesq Equations.

    Xiuyan Peng, Yi Niu
    2017-05-02
    DOI:10.4208/jpde.v30.n2.1
    43217 2534 pp. 95-110
  • Existence and Uniqueness of BV Solutions for a Class of Degenerate Boltzmann Equations with Measures as Initial Conditions

    Hongjun YUAN, Han YAN
    2009-05-08
    39450 2656 pp. 127-152
  • Uniqueness of Solution of the Initial Value Problem for ut=ΔUm-up

    Zhao Junning, Du Zhongfu
    1991-04-01
    183 60 pp. 89-96
  • Regularity of Viscous Solutions for a Degenerate Non-linear Cauchy Problem

    Eric Hern\u00e1ndez Sastoque, Christian Klingenberg, Leonardo Rend\u00f3n, Juan C. Juajibioy
    2016-03-05
    DOI:10.4208/jpde.v29.n1.2
    45424 3559 pp. 14-21
  • Asymptotic Decay Toward Rarefaction Wave for a Hyperbolic-elliptic Coupled System on Half Space

    Lizhi Ruan, Changjiang Zhu
    2008-05-02
    39261 2781 pp. 173-192
  • Global Well-posedness for the Klein-Gordon Equation Below the Energy Norm

    Changxing Miao, Bo Zhang, Daoyuan Fang
    2004-05-02
    39441 2705 pp. 97-121
  • The Nonexistence of the Solutions for the Non-Newtonian Filtration Equation with Absorption

    Qitong Ou
    2021-08-23
    DOI:10.4208/jpde.v34.n4.4
    51974 2508 pp. 369-378
  • Finite Time Blow Up of Solution for 1-D Nonlinear Wave Equation of Sixth Order with Linear Restoring Force at High Energy Level

    Yanbing Yang, Shaobin Huang
    2018-09-20
    DOI:10.4208/jpde.v31.n3.6
    44780 2522 pp. 274-280
  • The Cauchy Problem of the Modified Kawahara Equation

    Guixiang Xu
    2006-05-02
    38453 2559 pp. 126-146
  • Global Solutions of Nonlinear Schrodinger Equations

    Yaojun Ye
    2005-05-02
    38119 2868 pp. 185-192
  • Cauchy Problem for One-dimensional p-Laplacian Equation with Point Source

    Yinghua Li, Yuanyuan Ke, Zejia Wang
    2005-02-02
    217 174 pp. 22-34
  • The Global Wellposedness and Scattering of the Generalized Davey-Stewartson Equation

    Caixia Shen
    2004-02-02
    38994 3702 pp. 89-96
  • Cauchy Problem for General Rst Order Inhomogeneous Quasilinear Hyperbolic Systems

    Shumin Li
    2002-02-02
    40642 3819 pp. 46-68
  • Global Weak Solutions of the Cauchy Problem to a Hydrodynamic Model for Semiconductors

    Kaijun Zhang
    2020-05-12
    38418 2766 pp. 369-383
  • Cauchy's Problem for Degenerate Quasilinear Hyperbolic Equations with Measures as Initial Values

    Hongjun Yuan
    1999-12-01
    38708 2684 pp. 149-178
  • Solution to Nonlinear Wave Equation with Delta Initial Data and Its Singularity Structure

    Shuxing Chen
    2020-05-12
    40227 2681 pp. 301-312
  • Life-span of Classical Solutions to Nonlinear Wave Equations in Two-space-dimensions II

    Li Tatsien, Zhou Yi
    1993-06-01
    40533 3726 pp. 17-38
  • The Cauchy Problem for a Special System of Quasilinear Equations

    Hu Jiaxin, Wang Jinghua
    1991-04-01
    39743 3552 pp. 33-44
  • The Foundamental Solution of Weighted Cauchy Problem for One-ordered Fuchsian Type Pseudodifferential Operator

    Dai Zhengde, Xiang Changhe
    2020-05-12
    39026 2587 pp. 35-46
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