Grzegorz Łysik, Selected publications
- On the regularity of the product of distributions, Bull. Polish Acad. Sci. Math. 35 (1987), 203-210.
- On the structure of Mellin distributions,
Ann. Polon. Math. 51 (1990), 219-228.
- Generalized Taylor expansions of singular functions, Studia Math.
99 (1991), 235-251.
- The Taylor transformation of analytic functionals with non-bounded
carrier, Studia Math. 108 (1994), 159-176.
- On extendible ultradistributions, Bull. Polish Acad. Sci. Math. 43 (1995), 29-40.
- Laplace ultradistributions on a half line and a strong
quasi-analyticity principle, Ann. Polon. Math. 63 (1996), 13-33.
- On extendible ultradistributions II Bull. Polish Acad. Sci. Math. 45 (1997), 65-71.
- A Phragmén-Lindelöf type quasi analyticity principle, Studia Math.
123 (1997), 217-234.
- The Mellin transformation of strongly increasing functions,
J. Math. Sci. Univ. Tokyo 6 (1999), 49-86.
- Singular linear differential equations and Laurent type series,
Demonstratio Math. 32 (1999), 503-520
- On 1-regular ordinary differential operators,
Ann. Polon. Math. 74 (2000), 201-214.
- Nonanalyticity of solutions
to $\partial_tu=\partial_x^2u+u^2$,
Coll. Math. 95 (2003), 255-266.
- Non-analyticity in time of solutions
to the KdV equation,
Z. Anal. Anwendungen 23 (2004), 67-93.
- Formal solutions of semilinear heat equations, (with S. Michalik),
J. Math. Anal. Appl. 341 (2008), 372-385.
- Uniform analytic-Gevrey regularity of solutions to a semilinear heat equation ,
(with T. Gramchev), In: Parabolic and Navier-Stokes Equations, Banach Center Publ.
vol.81 (2008), 213-226.
- Sharp analytic-Gevrey regularity estimates down to $t=0$ for solutions
to semilinear heat equations , (with T. Gramchev),
Differential Integral Equ. 21 (2008), 771-799.
- Borel summable solutions of the Burgers equation ,
Annales Polonici Mathematici 95 (2009), 187-197.
- Formal solutions of second order evolution equations, ,
J. Anal. Appl. 30 (2011), 95-104.
- On the mean-value property for polyharmonic functions ,
Acta Math. Hungar. 133 (2011), 133-139.
- Mean-value properties of real analytic functions, ,
Arch. Math. 98 (2012), 61-70.
Back to the main
page