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Global Well-posedness of a Class of Singular Hyperbolic Cauchy Problems
Rahul Raju Pattar, N. Uday Kiran
The goal of this paper is to establish a global well-posedness, cone condition and loss of regularity for singular hyperbolic equations with coefficients in { $L^1((0,T];C^\infty(\…
Global Well-Posedness of a Class of Hyperbolic Cauchy Problems with Coefficients Sublogarithmic in Time
Rahul Raju Pattar, N. Uday Kiran
The goal of this paper is to study global well-posedness, cone of dependence and loss of regularity of the solutions to a class of strictly hyperbolic equations with coefficients d…
An Algebraic Approach to Degenerate Bernoulli Numbers
N. Uday Kiran, Sampath Lonka
In this work we study the properties of a new algebraic variant of the degenerate Bernoulli polynomial and study the corresponding degenerate Bernoulli number $\…
Energy Estimates and Global Well-posedness for a Broad Class of Strictly Hyperbolic Cauchy Problems with Coefficients Singular in Time
Rahul Raju Pattar, N. Uday Kiran
The goal of this paper is to establish a global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients in gro…
Strictly Hyperbolic Cauchy Problems on with Unbounded and Singular Coefficients
Rahul Raju Pattar, N. Uday Kiran
We investigate the behavior of the solutions of a class of certain strictly hyperbolic equations defined on in relation to a class of metrics on the phas…
An Algebraic Approach to q-Partial Fractions and Sylvester Denumerants
N. Uday Kiran
In 1857 Sylvester established an elegant theory that certain counting functions (which he termed denumerants) are quasi-polynomials by decomposing them into periodic and non-period…