If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

In this survey we discuss the recent results on the existence in the sense of sequences of
solutions for certain elliptic problems containing the non-Fredholm operators. First of all, we …

We obtain solvability conditions in H^ 2 for some elliptic equations in cylindrical domains
using the methods of spectral theory and scattering theory for Schrödinger type operators …

We obtain solvability conditions for some elliptic equations involving non-Fredholm
operators with the methods of spectral theory and scattering theory for Schrödinger-type …

On the Existence of Stationary Solutions for Some Non-Fredholm Integro-Differential Equations
Page 1 Documenta Math. 561 On the Existence of Stationary Solutions for Some Non-Fredholm …

We prove the existence in the sense of sequences of solutions for some integro-differential
type equations involving the drift term in the appropriate H^2 spaces using the fixed point …

Existence of solutions for some non-Fredholm integro-differential equations with mixed
diffusion Page 1 Chapter 4 Existence of solutions for some non-Fredholm integro-differential …

We study solvability of some linear nonhomogeneous elliptic problems and establish that
under reasonable technical conditions the convergence in L 2 (R d) of their right sides …

On the Solvability Conditions for a Linearized Cahn-Hilliard Equation Page 1 Rend. Istit. Mat.
Univ. Trieste Volume 43 (2011), 1–9 On the Solvability Conditions for a Linearized Cahn-Hilliard …

We establish the solvability of certain linear nonhomogeneous equations and demonstrate
that under reasonable technical conditions the convergence in L 2 (R d) of their right sides …