Volume 4, Issue 1
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

DOI:

J. Part. Diff. Eq.,4(1991),pp.45-56

Published online: 1991-04

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  • Abstract

This paper discusses a class of weakly hyperbolic equations with singular coefficients. We first set up the energy inequality, ana then discuss the wellposedness of the Cauchy problem by means ot the energy inequality, and the relation between the differentiabillty of solution and lower-order terms.

  • Keywords

Differentiabillty of solution Lower-order terms Cauchy problem Energy inequality

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@Article{JPDE-4-45, author = {Jian Suwen}, title = {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}, journal = {Journal of Partial Differential Equations}, year = {1991}, volume = {4}, number = {1}, pages = {45--56}, abstract = { This paper discusses a class of weakly hyperbolic equations with singular coefficients. We first set up the energy inequality, ana then discuss the wellposedness of the Cauchy problem by means ot the energy inequality, and the relation between the differentiabillty of solution and lower-order terms.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5760.html} }
TY - JOUR T1 - 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 AU - Jian Suwen JO - Journal of Partial Differential Equations VL - 1 SP - 45 EP - 56 PY - 1991 DA - 1991/04 SN - 4 DO - http://dor.org/ UR - https://global-sci.org/intro/jpde/5760.html KW - Differentiabillty of solution KW - Lower-order terms KW - Cauchy problem KW - Energy inequality AB - This paper discusses a class of weakly hyperbolic equations with singular coefficients. We first set up the energy inequality, ana then discuss the wellposedness of the Cauchy problem by means ot the energy inequality, and the relation between the differentiabillty of solution and lower-order terms.
Jian Suwen. (1970). 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. Journal of Partial Differential Equations. 4 (1). 45-56. doi:
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