首页|On Linear Homogeneous Biwave Equations

On Linear Homogeneous Biwave Equations

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The biwave maps are a class of fourth order hyperbolic equations.In this paper,we are interested in the solution formulas of the linear homogeneous biwave equations.Based on the solution formulas and the weighted energy estimate,we can obtain the L∞(Rn)-WN,1(Rn)and L∞(Rn)-WN,2(Rn)estimates,respectively By our results,we find that the biwave maps enjoy some different properties compared with the standard wave equations.

Biwave mapsDuhamel's principleFourier transformCauchy peoblemdeacy esti-mate

BAI Yaqian

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Department of Mathematics,Zhejiang Sci-Tech University,Hangzhou 310018,China

Zhejiang Provincial Outstanding Youth science Foundation浙江省自然科学基金国家自然科学基金国家自然科学基金

LR22A010004LY20A0100261207143511871212

2024

偏微分方程(英文版)

偏微分方程(英文版)

影响因子:0.078
ISSN:1000-940X
年,卷(期):2024.37(1)
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