GLOBAL EXISTENCE OF POSITIVE SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS IN A HALF-SPACE

Lamia Maatoug; Lotfi Riahi

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GLOBAL EXISTENCE OF POSITIVE SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS IN A HALF-SPACE

机译：半空间中半线性抛物方程正解的整体存在

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We prove the global existence of continuous solutions of the semilinear parabolic problem Δu - (partial deriv)/(partial deriv)t u + Vu~p = 0 in R+~n * (0,∞), where R_+~n is a half-space in R~n, n ≥ 3. The potential V is in some functional class Κ~∞. Our approach uses the Shauder fixed-point theorem.

机译：我们证明了R +〜n *（0，∞）中半线性抛物线问题Δu-（偏导数）/（偏导数）tu + Vu〜p = 0的连续解的整体存在性，其中R_ +〜n是一半R〜n中的空间，n≥3。电势V在某个函数类Κ〜∞中。我们的方法使用Shauder不动点定理。

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《Differential and integral equations》 |2004年第12期|共20页
作者
Lamia Maatoug; Lotfi Riahi;
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专利

1. GLOBAL EXISTENCE OF POSITIVE SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS IN A HALF-SPACE [J] . Lamia Maatoug, Lotfi Riahi Differential and integral equations . 2004,第11a12期

机译：半空间中半线性抛物方程正解的整体存在
2. On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions [J] . Gladkova A. L., Nikitin A. I. Differential equations: A translation of differensial'nye uraveniya . 2018,第1期

机译：非线性非局部Neumann边界条件下半线性抛物线方程系统初值问题解决方案的全局存在
3. Global existence, exponential decay and finite time blow-up of solutions for a class of semilinear pseudo-parabolic equations with conical degeneration [J] . Li Gang, Yu Jiangyong, Liu Wenjun Journal of pseudo-differential operators and applications . 2017,第4期

机译：一类具圆锥退化的半线性拟抛物方程的解的整体存在，指数衰减和有限时间爆炸
4. Numerical existence theorem for solutions of semilinear parabolic equations using the evolution operator [C] . Akitoshi Takayasu, Makoto Mizuguchi, Takayuki Kubo, International Conference on Simulation Technology . 2015

机译：使用演化运营商的半线性抛物线方程解的数值存在定理
5. Positive and oscillatory radial solutions of semilinear elliptic and parabolic equations. [D] . Chen, Shaohua. 1996

机译：半线性椭圆和抛物线方程的正解和振动解。
6. Existence of anti-periodic (differentiable) mild solutions to semilinear differential equations with nondense domain [O] . Jinghuai Liu, Litao Zhang -1

机译：具有稠密域的半线性微分方程的反周期（可微）温和解的存在性
7. Existence and non existence of global solutions of semilinear parabolic equations [O] . Hamada Toshihiko, ハマダトシヒコ 1998

机译：半线性抛物方程的整体解的存在与否
8. On the Existence of Positive Solutions of Semilinear Elliptic Equations [R] . Lions, P. L. 1981

机译：关于半线性椭圆型方程正解的存在性

GLOBAL EXISTENCE OF POSITIVE SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS IN A HALF-SPACE

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