Alienation of the Jensen, Cauchy and d’Alembert Equations

Barbara Sobek

Displaying similar documents to “Alienation of the Jensen, Cauchy and d’Alembert Equations”

Exponential stability of solutions of the Cauchy problem for a diffusion equation with absorption with a distribution initial condition.

Orewczyk, Joanna (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

On some application of the Bochenek theorem.

Byszewski, Ludwik (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

Exponential monomials on Sturm-Liouville hypergroups.

Vajday, L. (2010)

Banach Journal of Mathematical Analysis [electronic only]

Similarity:

$L^{p}$ - $L^{q}$ -Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity

Jerzy Gawinecki (1991)

Annales Polonici Mathematici

Similarity:

We prove the $L^{p}$ - $L^{q}$ -time decay estimates for the solution of the Cauchy problem for the hyperbolic system of partial differential equations of linear thermoelasticity. In our proof based on the matrix of fundamental solutions to the system we use Strauss-Klainerman’s approach [12], [5] to the $L^{p}$ - $L^{q}$ -time decay estimates.

Towards the Cauchy problem for the Laplace equation

Dinh Hào, Tran Van, Rudolf Gorenflo (1992)

Banach Center Publications

Similarity:

Note on multiplicative perturbation of local $C$ -regularized cosine functions with nondensely defined generators.

Li, Fang, Liu, James H. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

Existence of solutions to a second order partial differential equation with nonlocal conditions.

Hernández M., Eduardo (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

On the Cauchy problem in a class of entire functions in several variables

Eugeni Leinartas (1996)

Banach Center Publications

Similarity:

We study the integral representation of solutions to the Cauchy problem for a differential equation with constant coefficients. The Cauchy data and the right-hand of the equation are given by entire functions on a complex hyperplane of $ℂ^{n + 1}$ . The Borel transformation of power series and residue theory are used as the main methods of investigation.

A system of simultaneous congruences arising from trinomial exponential sums

Todd Cochrane, Jeremy Coffelt, Christopher Pinner (2006)

Journal de Théorie des Nombres de Bordeaux

Similarity:

For a prime $p$ and positive integers $ℓ < k < h < p$ with $d = (h, k, ℓ, p - 1)$ , we show that $M$ , the number of simultaneous solutions $x, y, z, w$ in $ℤ_{p}^{*}$ to $x^{h} + y^{h} = z^{h} + w^{h}$ , $x^{k} + y^{k} = z^{k} + w^{k}$ , $x^{ℓ} + y^{ℓ} = z^{ℓ} + w^{ℓ}$ , satisfies $M \leq 3 d^{2} {(p - 1)}^{2} + 25 h k ℓ (p - 1) .$ When $h k ℓ = o (p d^{2})$ we obtain a precise asymptotic count on $M$ . This leads to the new twisted exponential sum bound $|\sum_{x = 1}^{p - 1} χ (x) e^{2 π i f (x) / p}| \leq 3^{\frac{1}{4}} d^{\frac{1}{2}} p^{\frac{7}{8}} + \sqrt{5} {(h k ℓ)}^{\frac{1}{4}} p^{\frac{5}{8}},$ for trinomials $f = a x^{h} + b x^{k} + c x^{ℓ}$ , and to results on the average size of such sums.

Completely regular spaces

H. L. Bentley, Eva Lowen-Colebunders (1991)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We conduct an investigation of the relationships which exist between various generalizations of complete regularity in the setting of merotopic spaces, with particular attention to filter spaces such as Cauchy spaces and convergence spaces. Our primary contribution consists in the presentation of several counterexamples establishing the divergence of various such generalizations of complete regularity. We give examples of: (1) a contigual zero space which is not weakly regular and is...

Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem

Irina Melnikova (1996)

Banach Center Publications

Similarity:

The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.