Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation

Khromov A. P.; Kornev V. V.

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Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation

机译：非均匀波方程混合问题的古典和广义解

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摘要

A.N. Krylov's ideas concerning convergence acceleration for Fourier series are used to obtain explicit expressions for the classical solution of a mixed problem for a nonhomogeneous equation and explicit expressions for a weak solution in the case of arbitrary summable , , , and .

机译：一个。 Krylov关于傅立叶系列的收敛加速的想法用于获得用于非均匀方程的混合问题的经典解的明确表达式，以及在任意相当一步的情况下为弱解决方案的明确表达式。

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《Doklady. Mathematics》 |2019年第1期|共3页
作者
Khromov A. P.; Kornev V. V.;
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Saratov Natl Res State Univ Saratov 410012 Russia;

Saratov Natl Res State Univ Saratov 410012 Russia;

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正文语种 eng
中图分类数学;
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1. Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation [J] . Khromov A. P., Kornev V. V. Doklady. Mathematics . 2019,第1期

机译：非均匀波方程混合问题的古典和广义解
2. Classical and Generalized Solutions of a Mixed Problem for a System of First-Order Equations with a Continuous Potential [J] . Burlutskaya M. Sh. Computational mathematics and mathematical physics . 2019,第3期

机译：具有连续潜力的一阶方程系统混合问题的经典和广义解
3. Lump, mixed lump-stripe, mixed rogue wave-stripe and breather wave solutions for a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation [J] . Liu Shao-Hua, Tian Bo, Qu Qi-Xing, Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics . 2020,第23期

机译：块状，混合块状条纹，混合流氓波条和呼吸波解决方案（3 + 1） - 一维广义Calogero-Bogoyavlenskii-Shifflenskii-Shiff Schiff方程
4. Parametric solutions to fully-actuated generalized Sylvester equations#x2014;The nonhomogeneous case [C] . Duan Guang-Ren Chinese Control Conference . 2014

机译：全驱动广义Sylvester方程的参数解-非齐次情况
5. Self-similar solutions to the detonation equations in nonhomogeneous media. [D] . Woerner, Edwin L. 1990

机译：非均匀介质中爆轰方程的自相似解。
6. Generalizing the use of the canonical transformation for the solution of multivariate mixed model equations [O] . V Ducrocq, H Chapuis 1997

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7. Uniqueness of solution for mixed problems related to the generalized wave equation [O] . Jódar L., Almenar P. 1997

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8. Similarity Transformations, the Structure of the Travelling Waves Solution and the Existence of a Global Smooth Solution to Generalized Kuramoto-Sivashinsky Type Equations [R] . Guo, B. 1988

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Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation

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